Solve (-14-a)-(-7a-1)-18

Question

Simplify the expression

- 31 + 6 a

Evaluate

(- 14 - a) - (- 7 a - 1) - 18

Remove the parentheses

- 14 - a - (- 7 a - 1) - 18

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

- 14 - a + 7 a + 1 - 18

Calculate the sum or difference

- 31 - a + 7 a

Solution

More Steps

Evaluate

- a + 7 a

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

(- 1 + 7) a

Add the numbers

6 a

- 31 + 6 a

Show Solution

Find the roots

a = \frac{31}{6}

Alternative Form

a = 5.1 \dot{6}

Evaluate

(- 14 - a) - (- 7 a - 1) - 18

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

(- 14 - a) - (- 7 a - 1) - 18 = 0

Remove the parentheses

- 14 - a - (- 7 a - 1) - 18 = 0

Subtract the terms

More Steps

Simplify

- 14 - a - (- 7 a - 1)

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

- 14 - a + 7 a + 1

Add the numbers

- 13 - a + 7 a

Add the terms

More Steps

Evaluate

- a + 7 a

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

(- 1 + 7) a

Add the numbers

6 a

- 13 + 6 a

- 13 + 6 a - 18 = 0

Subtract the numbers

- 31 + 6 a = 0

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

6 a = 0 + 31

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

6 a = 31

Divide both sides

\frac{6 a}{6} = \frac{31}{6}

Solution

a = \frac{31}{6}

Alternative Form

a = 5.1 \dot{6}

Show Solution