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Simplifying 39 + 8p = -3(-5p + -6) Reorder the terms: 39 + 8p = -3(-6 + -5p) 39 + 8p = (-6 * -3 + -5p * -3) 39 + 8p = (18 + 15p) Solving 39 + 8p = 18 + 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 + 8p + -15p = 18 + 15p + -15p Combine like terms: 8p + -15p = -7p 39 + -7p = 18 + 15p + -15p Combine like terms: 15p + -15p = 0 39 + -7p = 18 + 0 39 + -7p = 18 Add '-39' to each side of the equation. 39 + -39 + -7p = 18 + -39 Combine like terms: 39 + -39 = 0 0 + -7p = 18 + -39 -7p = 18 + -39 Combine like terms: 18 + -39 = -21 -7p = -21 Divide each side by '-7'. p = 3 Simplifying p = 3
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