Graph -138>=-6(6b-7)

$- 138 \geq - 6 (6 b - 7)$

Rewrite so $b$ is on the left side of the inequality.

$- 6 (6 b - 7) \leq - 138$

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

Divide each term in $- 6 (6 b - 7) \leq - 138$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

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

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

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

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

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

Simplify the right side.

Divide $- 138$ by $- 6$ .

$6 b - 7 \geq 23$

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

Add $7$ to both sides of the inequality.

$6 b \geq 23 + 7$

Add $23$ and $7$ .

$6 b \geq 30$

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

Divide each term in $6 b \geq 30$ by $6$ .

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

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

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

Divide $b$ by $1$ .

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

Simplify the right side.

Divide $30$ by $6$ .

$b \geq 5$

Graph -138>=-6(6b-7)

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