Solve for m -20+14m=10m+16

$- 20 + 14 m = 10 m + 16$

Step 1

Move all terms containing $m$ to the left side of the equation.

Subtract $10 m$ from both sides of the equation.

$- 20 + 14 m - 10 m = 16$

Subtract $10 m$ from $14 m$ .

$- 20 + 4 m = 16$

Step 2

Move all terms not containing $m$ to the right side of the equation.

Add $20$ to both sides of the equation.

$4 m = 16 + 20$

Add $16$ and $20$ .

$4 m = 36$

Step 3

Divide each term in $4 m = 36$ by $4$ and simplify.

Divide each term in $4 m = 36$ by $4$ .

$\frac{4 m}{4} = \frac{36}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 m}{4} = \frac{36}{4}$

Divide $m$ by $1$ .

$m = \frac{36}{4}$

Simplify the right side.

Divide $36$ by $4$ .

$m = 9$