Solve -1(8b-2) -2(9b-7)

Question

Simplify the expression

- 26 b + 16

Evaluate

- (8 b - 2) - 2 (9 b - 7)

Multiply the terms

- 8 b + 2 - 2 (9 b - 7)

Expand the expression

More Steps

Calculate

- 2 (9 b - 7)

Apply the distributive property

- 2 \times 9 b - (- 2 \times 7)

Multiply the numbers

- 18 b - (- 2 \times 7)

Multiply the numbers

- 18 b - (- 14)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 18 b + 14

- 8 b + 2 - 18 b + 14

Subtract the terms

More Steps

Evaluate

- 8 b - 18 b

Collect like terms by calculating the sum or difference of their coefficients

(- 8 - 18) b

Subtract the numbers

- 26 b

- 26 b + 2 + 14

Solution

- 26 b + 16

Show Solution

Factor the expression

- 2 (13 b - 8)

Evaluate

- (8 b - 2) - 2 (9 b - 7)

Simplify

- 8 b + 2 - 2 (9 b - 7)

Simplify

More Steps

Evaluate

- 2 (9 b - 7)

Apply the distributive property

- 2 \times 9 b - 2 (- 7)

Multiply the terms

- 18 b - 2 (- 7)

Multiply the terms

More Steps

Evaluate

- 2 (- 7)

Multiplying or dividing an even number of negative terms equals a positive

2 \times 7

Multiply the numbers

14

- 18 b + 14

- 8 b + 2 - 18 b + 14

Subtract the terms

More Steps

Evaluate

- 8 b - 18 b

Collect like terms by calculating the sum or difference of their coefficients

(- 8 - 18) b

Subtract the numbers

- 26 b

- 26 b + 2 + 14

Add the numbers

- 26 b + 16

Solution

- 2 (13 b - 8)

Show Solution

Find the roots

b = \frac{8}{13}

Alternative Form

b = 0. \dot{6} 1538 \dot{4}

Evaluate

- (8 b - 2) - 2 (9 b - 7)

To find the roots of the expression,set the expression equal to 0

- (8 b - 2) - 2 (9 b - 7) = 0

Multiply the terms

- 8 b + 2 - 2 (9 b - 7) = 0

Calculate the sum or difference

More Steps

Evaluate

- 8 b + 2 - 2 (9 b - 7)

Expand the expression

More Steps

Calculate

- 2 (9 b - 7)

Apply the distributive property

- 2 \times 9 b - (- 2 \times 7)

Multiply the numbers

- 18 b - (- 2 \times 7)

Multiply the numbers

- 18 b - (- 14)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 18 b + 14

- 8 b + 2 - 18 b + 14

Subtract the terms

More Steps

Evaluate

- 8 b - 18 b

Collect like terms by calculating the sum or difference of their coefficients

(- 8 - 18) b

Subtract the numbers

- 26 b

- 26 b + 2 + 14

Add the numbers

- 26 b + 16

- 26 b + 16 = 0

Move the constant to the right-hand side and change its sign

- 26 b = 0 - 16

Removing 0 doesn't change the value,so remove it from the expression

- 26 b = - 16

Change the signs on both sides of the equation

26 b = 16

Divide both sides

\frac{26 b}{26} = \frac{16}{26}

Divide the numbers

b = \frac{16}{26}

Solution

b = \frac{8}{13}

Alternative Form

b = 0. \dot{6} 1538 \dot{4}

Show Solution