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Simplifying 5(3 + -1p) = 4(8 + -2p) (3 * 5 + -1p * 5) = 4(8 + -2p) (15 + -5p) = 4(8 + -2p) 15 + -5p = (8 * 4 + -2p * 4) 15 + -5p = (32 + -8p) Solving 15 + -5p = 32 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 15 + -5p + 8p = 32 + -8p + 8p Combine like terms: -5p + 8p = 3p 15 + 3p = 32 + -8p + 8p Combine like terms: -8p + 8p = 0 15 + 3p = 32 + 0 15 + 3p = 32 Add '-15' to each side of the equation. 15 + -15 + 3p = 32 + -15 Combine like terms: 15 + -15 = 0 0 + 3p = 32 + -15 3p = 32 + -15 Combine like terms: 32 + -15 = 17 3p = 17 Divide each side by '3'. p = 5.666666667 Simplifying p = 5.666666667
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