Solve for b -138=-6(6b-7)

$- 138 = - 6 (6 b - 7)$

Step 1

Rewrite the equation as $- 6 (6 b - 7) = - 138$ .

$- 6 (6 b - 7) = - 138$

Step 2

Divide each term in $- 6 (6 b - 7) = - 138$ by $- 6$ and simplify.

Divide each term in $- 6 (6 b - 7) = - 138$ by $- 6$ .

$\frac{- 6 (6 b - 7)}{- 6} = \frac{- 138}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 (6 b - 7)}{- 6} = \frac{- 138}{- 6}$

Divide $6 b - 7$ by $1$ .

$6 b - 7 = \frac{- 138}{- 6}$

Simplify the right side.

Divide $- 138$ by $- 6$ .

$6 b - 7 = 23$

Step 3

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

Add $7$ to both sides of the equation.

$6 b = 23 + 7$

Add $23$ and $7$ .

$6 b = 30$

Step 4

Divide each term in $6 b = 30$ by $6$ and simplify.

Divide each term in $6 b = 30$ by $6$ .

$\frac{6 b}{6} = \frac{30}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 b}{6} = \frac{30}{6}$

Divide $b$ by $1$ .

$b = \frac{30}{6}$

Simplify the right side.

Divide $30$ by $6$ .

$b = 5$