Question

Solve -21 = -9 + 2/3b

Answer 1

Final Answer: $b = -18$

Steps/Reasons/Explanation:

Question: Solve $-21 = -9 + \frac{2}{3}b$.

Step 1: Simplify $\frac{2}{3}b$ to $\frac{2b}{3}$.

$-21 = -9 + \frac{2b}{3}$

Step 2: Regroup terms.

$-21 = \frac{2b}{3} - 9$

Step 3: Add $9$ to both sides.

$-21 + 9 = \frac{2b}{3}$

Step 4: Simplify $-21 + 9$ to $-12$.

$-12 = \frac{2b}{3}$

Step 5: Multiply both sides by $3$.

$-12$ × $3 = 2b$

Step 6: Simplify $-12$ × $3$ to $-36$.

$-36 = 2b$

Step 7: Divide both sides by $2$.

$-\frac{36}{2} = b$

Step 8: Simplify $-\frac{36}{2}$ to $-18$.

$-18 = b$

Step 9: Switch sides.

$b = -18$

~I hope I helped you :)~