Solve for m (-4t+m)/3=4m

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

Step 1

Multiply both sides by $3$ .

$\frac{- 4 t + m}{3} \cdot 3 = 4 m \cdot 3$

Step 2

Simplify.

Simplify the left side.

Simplify $\frac{- 4 t + m}{3} \cdot 3$ .

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{- 4 t + m}{3} \cdot 3 = 4 m \cdot 3$

Rewrite the expression.

$- 4 t + m = 4 m \cdot 3$

Reorder $- 4 t$ and $m$ .

$m - 4 t = 4 m \cdot 3$

Simplify the right side.

Multiply $3$ by $4$ .

$m - 4 t = 12 m$

Step 3

Solve for $m$ .

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

Subtract $12 m$ from both sides of the equation.

$m - 4 t - 12 m = 0$

Subtract $12 m$ from $m$ .

$- 11 m - 4 t = 0$

Add $4 t$ to both sides of the equation.

$- 11 m = 4 t$

Divide each term in $- 11 m = 4 t$ by $- 11$ and simplify.

Divide each term in $- 11 m = 4 t$ by $- 11$ .

$\frac{- 11 m}{- 11} = \frac{4 t}{- 11}$

Simplify the left side.

Cancel the common factor of $- 11$ .

Cancel the common factor.

$\frac{- 11 m}{- 11} = \frac{4 t}{- 11}$

Divide $m$ by $1$ .

$m = \frac{4 t}{- 11}$

Simplify the right side.

Move the negative in front of the fraction.

$m = - \frac{4 t}{11}$