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Simplifying -5(3 + p) = 4(p + 4) + 5 (3 * -5 + p * -5) = 4(p + 4) + 5 (-15 + -5p) = 4(p + 4) + 5 Reorder the terms: -15 + -5p = 4(4 + p) + 5 -15 + -5p = (4 * 4 + p * 4) + 5 -15 + -5p = (16 + 4p) + 5 Reorder the terms: -15 + -5p = 16 + 5 + 4p Combine like terms: 16 + 5 = 21 -15 + -5p = 21 + 4p Solving -15 + -5p = 21 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -15 + -5p + -4p = 21 + 4p + -4p Combine like terms: -5p + -4p = -9p -15 + -9p = 21 + 4p + -4p Combine like terms: 4p + -4p = 0 -15 + -9p = 21 + 0 -15 + -9p = 21 Add '15' to each side of the equation. -15 + 15 + -9p = 21 + 15 Combine like terms: -15 + 15 = 0 0 + -9p = 21 + 15 -9p = 21 + 15 Combine like terms: 21 + 15 = 36 -9p = 36 Divide each side by '-9'. p = -4 Simplifying p = -4
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