Algebra Examples

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

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.

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Step 2.1

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

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 6$ .

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Step 2.2.1.1

Cancel the common factor.

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

Step 2.2.1.2

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

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

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 138$ by $- 6$ .

$6 b - 7 = 23$

Step 3

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

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Step 3.1

Add $7$ to both sides of the equation.

$6 b = 23 + 7$

Step 3.2

Add $23$ and $7$ .

$6 b = 30$

Step 4

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

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Step 4.1

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

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

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $6$ .

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Step 4.2.1.1

Cancel the common factor.

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

Step 4.2.1.2

Divide $b$ by $1$ .

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

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $30$ by $6$ .

$b = 5$