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Simplifying -2p + -29 = -3(8p + -5) Reorder the terms: -29 + -2p = -3(8p + -5) Reorder the terms: -29 + -2p = -3(-5 + 8p) -29 + -2p = (-5 * -3 + 8p * -3) -29 + -2p = (15 + -24p) Solving -29 + -2p = 15 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. -29 + -2p + 24p = 15 + -24p + 24p Combine like terms: -2p + 24p = 22p -29 + 22p = 15 + -24p + 24p Combine like terms: -24p + 24p = 0 -29 + 22p = 15 + 0 -29 + 22p = 15 Add '29' to each side of the equation. -29 + 29 + 22p = 15 + 29 Combine like terms: -29 + 29 = 0 0 + 22p = 15 + 29 22p = 15 + 29 Combine like terms: 15 + 29 = 44 22p = 44 Divide each side by '22'. p = 2 Simplifying p = 2
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