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Simplifying 7p + 39 = -3(-5p + 3) Reorder the terms: 39 + 7p = -3(-5p + 3) Reorder the terms: 39 + 7p = -3(3 + -5p) 39 + 7p = (3 * -3 + -5p * -3) 39 + 7p = (-9 + 15p) Solving 39 + 7p = -9 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 39 + 7p + -15p = -9 + 15p + -15p Combine like terms: 7p + -15p = -8p 39 + -8p = -9 + 15p + -15p Combine like terms: 15p + -15p = 0 39 + -8p = -9 + 0 39 + -8p = -9 Add '-39' to each side of the equation. 39 + -39 + -8p = -9 + -39 Combine like terms: 39 + -39 = 0 0 + -8p = -9 + -39 -8p = -9 + -39 Combine like terms: -9 + -39 = -48 -8p = -48 Divide each side by '-8'. p = 6 Simplifying p = 6
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