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Simplifying 39 + -8p = 2 + -5(1 + 3p) 39 + -8p = 2 + (1 * -5 + 3p * -5) 39 + -8p = 2 + (-5 + -15p) Combine like terms: 2 + -5 = -3 39 + -8p = -3 + -15p Solving 39 + -8p = -3 + -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 = -3 + -15p + 15p Combine like terms: -8p + 15p = 7p 39 + 7p = -3 + -15p + 15p Combine like terms: -15p + 15p = 0 39 + 7p = -3 + 0 39 + 7p = -3 Add '-39' to each side of the equation. 39 + -39 + 7p = -3 + -39 Combine like terms: 39 + -39 = 0 0 + 7p = -3 + -39 7p = -3 + -39 Combine like terms: -3 + -39 = -42 7p = -42 Divide each side by '7'. p = -6 Simplifying p = -6
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