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Simplifying -5(p + 3) = 3(p + 3) Reorder the terms: -5(3 + p) = 3(p + 3) (3 * -5 + p * -5) = 3(p + 3) (-15 + -5p) = 3(p + 3) Reorder the terms: -15 + -5p = 3(3 + p) -15 + -5p = (3 * 3 + p * 3) -15 + -5p = (9 + 3p) Solving -15 + -5p = 9 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -15 + -5p + -3p = 9 + 3p + -3p Combine like terms: -5p + -3p = -8p -15 + -8p = 9 + 3p + -3p Combine like terms: 3p + -3p = 0 -15 + -8p = 9 + 0 -15 + -8p = 9 Add '15' to each side of the equation. -15 + 15 + -8p = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -8p = 9 + 15 -8p = 9 + 15 Combine like terms: 9 + 15 = 24 -8p = 24 Divide each side by '-8'. p = -3 Simplifying p = -3
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