$\frac{1}{4} p + 10 = \frac{1}{2} (p + 4)$

Answer

$p = 32$

Explanation

\frac{1}{4} p + 10 4 \cdot \frac{1}{4} p + 4 \cdot 10 p + 40 p - 2 p - p p = \frac{1}{2} (p + 4) = 4 \cdot \frac{1}{2} (p + 4) = 2 p + 8 = 8 - 40 = - 32 = 32 multiply ALL terms by 4 . cancel out the denominators move the 2 p to the left side and 40 to the right simplify left and right hand side switch signs on both sides

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41​p+10=21​(p+4)

p=32

$\frac{1}{4} p + 10 = \frac{1}{2} (p + 4)$

$p = 32$