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name: vivana castillo date: 1-26-26 p: 6 show all your work 2. \\(\\fra…

Question

name: vivana castillo date: 1-26-26 p: 6 show all your work 2. \\(\frac{b}{3} - 5 = -9\\) solve \\(\frac{b}{3} - 5 = -9\\) check

Explanation:

Step1: Add 5 to both sides

$\frac{b}{3} - 5 + 5 = -9 + 5$
$\frac{b}{3} = -4$

Step2: Multiply by 3 on both sides

$\frac{b}{3} \times 3 = -4 \times 3$
$b = -12$

Step3: Check the solution

Substitute $b=-12$ into original equation:
$\frac{-12}{3} - 5 = -4 - 5 = -9$
This matches the right-hand side.

Answer:

$b = -12$