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two step equations score: 0/5 penalty: none question solve for ( b ). (…

Question

two step equations
score: 0/5 penalty: none
question
solve for ( b ).
( -\frac{b}{5} - 27 = -21 )

Explanation:

Step1: Add 27 to both sides

To isolate the term with \( b \), we add 27 to both sides of the equation \( -\frac{b}{5}-27 = -21 \).

$$ -\frac{b}{5}-27 + 27=-21 + 27 $$

Simplifying both sides, we get:

$$ -\frac{b}{5}=6 $$

Step2: Multiply both sides by -5

To solve for \( b \), we multiply both sides of the equation \( -\frac{b}{5}=6 \) by -5.

$$ -\frac{b}{5}\times(-5)=6\times(-5) $$

Simplifying both sides, we find:

$$ b = - 30 $$

Answer:

\( b=-30 \)