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Simplifying 8(9 + 2p) = 5(2 + -3p) (9 * 8 + 2p * 8) = 5(2 + -3p) (72 + 16p) = 5(2 + -3p) 72 + 16p = (2 * 5 + -3p * 5) 72 + 16p = (10 + -15p) Solving 72 + 16p = 10 + -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. 72 + 16p + 15p = 10 + -15p + 15p Combine like terms: 16p + 15p = 31p 72 + 31p = 10 + -15p + 15p Combine like terms: -15p + 15p = 0 72 + 31p = 10 + 0 72 + 31p = 10 Add '-72' to each side of the equation. 72 + -72 + 31p = 10 + -72 Combine like terms: 72 + -72 = 0 0 + 31p = 10 + -72 31p = 10 + -72 Combine like terms: 10 + -72 = -62 31p = -62 Divide each side by '31'. p = -2 Simplifying p = -2
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