Solve for m 12.6+4m=9.6+8m

$12.6 + 4 m = 9.6 + 8 m$

Step 1

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

Subtract $8 m$ from both sides of the equation.

$12.6 + 4 m - 8 m = 9.6$

Subtract $8 m$ from $4 m$ .

$12.6 - 4 m = 9.6$

Step 2

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

Subtract $12.6$ from both sides of the equation.

$- 4 m = 9.6 - 12.6$

Subtract $12.6$ from $9.6$ .

$- 4 m = - 3$

Step 3

Divide each term in $- 4 m = - 3$ by $- 4$ and simplify.

Divide each term in $- 4 m = - 3$ by $- 4$ .

$\frac{- 4 m}{- 4} = \frac{- 3}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 m}{- 4} = \frac{- 3}{- 4}$

Divide $m$ by $1$ .

$m = \frac{- 3}{- 4}$

Simplify the right side.

Cancel the common factor of $- 3$ and $- 4$ .

Rewrite $- 3$ as $- 1 (3)$ .

$m = \frac{- 1 (3)}{- 4}$

Cancel the common factors.

Rewrite $- 4$ as $- 1 (4)$ .

$m = \frac{- 1 \cdot 3}{- 1 \cdot 4}$

Cancel the common factor.

$m = \frac{- 1 \cdot 3}{- 1 \cdot 4}$

Rewrite the expression.

$m = \frac{3}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$m = \frac{3}{4}$

Decimal Form:

$m = 0.75$