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Simplifying 4(p + 7) = 32 + 5p Reorder the terms: 4(7 + p) = 32 + 5p (7 * 4 + p * 4) = 32 + 5p (28 + 4p) = 32 + 5p Solving 28 + 4p = 32 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 28 + 4p + -5p = 32 + 5p + -5p Combine like terms: 4p + -5p = -1p 28 + -1p = 32 + 5p + -5p Combine like terms: 5p + -5p = 0 28 + -1p = 32 + 0 28 + -1p = 32 Add '-28' to each side of the equation. 28 + -28 + -1p = 32 + -28 Combine like terms: 28 + -28 = 0 0 + -1p = 32 + -28 -1p = 32 + -28 Combine like terms: 32 + -28 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4
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