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solve the equation: $-dfrac{b}{5} - 27 = -21$

Question

solve the equation: $-dfrac{b}{5} - 27 = -21$

Explanation:

Step1: Add 27 to both sides

To isolate the term with \( b \), we add 27 to both sides of the equation \(-\frac{b}{5}-27 = -21\). This gives us \(-\frac{b}{5}-27 + 27=-21 + 27\), which simplifies to \(-\frac{b}{5}=6\).

Step2: Multiply both sides by -5

To solve for \( b \), we multiply both sides of the equation \(-\frac{b}{5}=6\) by -5. Using the property of equality, we have \(-\frac{b}{5}\times(-5)=6\times(-5)\), which simplifies to \( b=-30 \).

Answer:

\( b = -30 \)