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Simplifying 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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