Solve -9(m+2)+4(6-7m)

Question

Simplify the expression

Solution

- 37 m + 6

Evaluate

- 9 (m + 2) + 4 (6 - 7 m)

Expand the expression

More Steps

Calculate

- 9 (m + 2)

Apply the distributive property

- 9 m - 9 \times 2

Multiply the numbers

- 9 m - 18

- 9 m - 18 + 4 (6 - 7 m)

Expand the expression

More Steps

Calculate

4 (6 - 7 m)

Apply the distributive property

4 \times 6 - 4 \times 7 m

Multiply the numbers

24 - 4 \times 7 m

Multiply the numbers

24 - 28 m

- 9 m - 18 + 24 - 28 m

Subtract the terms

More Steps

Evaluate

- 9 m - 28 m

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

(- 9 - 28) m

Subtract the numbers

- 37 m

- 37 m - 18 + 24

Solution

- 37 m + 6

Show Solution

Find the roots

Find the roots of the algebra expression

m = \frac{6}{37}

Alternative Form

m = 0. \dot{1} 6 \dot{2}

Evaluate

- 9 (m + 2) + 4 (6 - 7 m)

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

- 9 (m + 2) + 4 (6 - 7 m) = 0

Calculate

More Steps

Evaluate

- 9 (m + 2) + 4 (6 - 7 m)

Expand the expression

More Steps

Calculate

- 9 (m + 2)

Apply the distributive property

- 9 m - 9 \times 2

Multiply the numbers

- 9 m - 18

- 9 m - 18 + 4 (6 - 7 m)

Expand the expression

More Steps

Calculate

4 (6 - 7 m)

Apply the distributive property

4 \times 6 - 4 \times 7 m

Multiply the numbers

24 - 4 \times 7 m

Multiply the numbers

24 - 28 m

- 9 m - 18 + 24 - 28 m

Subtract the terms

More Steps

Evaluate

- 9 m - 28 m

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

(- 9 - 28) m

Subtract the numbers

- 37 m

- 37 m - 18 + 24

Add the numbers

- 37 m + 6

- 37 m + 6 = 0

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

- 37 m = 0 - 6

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

- 37 m = - 6

Change the signs on both sides of the equation

37 m = 6

Divide both sides

\frac{37 m}{37} = \frac{6}{37}

Solution

m = \frac{6}{37}

Alternative Form

m = 0. \dot{1} 6 \dot{2}

Show Solution

9(m+2)+4(6 7m)

Simplify the expression

Solution

Find the roots

Find the roots of the algebra expression