Solve for m 7m-7-6m-16=1+4m

$7 m - 7 - 6 m - 16 = 1 + 4 m$

Step 1

Simplify $7 m - 7 - 6 m - 16$ .

Subtract $6 m$ from $7 m$ .

$m - 7 - 16 = 1 + 4 m$

Subtract $16$ from $- 7$ .

$m - 23 = 1 + 4 m$

Step 2

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

Subtract $4 m$ from both sides of the equation.

$m - 23 - 4 m = 1$

Subtract $4 m$ from $m$ .

$- 3 m - 23 = 1$

Step 3

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

Add $23$ to both sides of the equation.

$- 3 m = 1 + 23$

Add $1$ and $23$ .

$- 3 m = 24$

Step 4

Divide each term in $- 3 m = 24$ by $- 3$ and simplify.

Divide each term in $- 3 m = 24$ by $- 3$ .

$\frac{- 3 m}{- 3} = \frac{24}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 m}{- 3} = \frac{24}{- 3}$

Divide $m$ by $1$ .

$m = \frac{24}{- 3}$

Simplify the right side.

Divide $24$ by $- 3$ .

$m = - 8$