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Simplifying 3(5 + -1p) = -1(3 + p) (5 * 3 + -1p * 3) = -1(3 + p) (15 + -3p) = -1(3 + p) 15 + -3p = (3 * -1 + p * -1) 15 + -3p = (-3 + -1p) Solving 15 + -3p = -3 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 15 + -3p + p = -3 + -1p + p Combine like terms: -3p + p = -2p 15 + -2p = -3 + -1p + p Combine like terms: -1p + p = 0 15 + -2p = -3 + 0 15 + -2p = -3 Add '-15' to each side of the equation. 15 + -15 + -2p = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -2p = -3 + -15 -2p = -3 + -15 Combine like terms: -3 + -15 = -18 -2p = -18 Divide each side by '-2'. p = 9 Simplifying p = 9
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