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Simplifying 7(1 + -1p) = -3(5 + 3p) (1 * 7 + -1p * 7) = -3(5 + 3p) (7 + -7p) = -3(5 + 3p) 7 + -7p = (5 * -3 + 3p * -3) 7 + -7p = (-15 + -9p) Solving 7 + -7p = -15 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 7 + -7p + 9p = -15 + -9p + 9p Combine like terms: -7p + 9p = 2p 7 + 2p = -15 + -9p + 9p Combine like terms: -9p + 9p = 0 7 + 2p = -15 + 0 7 + 2p = -15 Add '-7' to each side of the equation. 7 + -7 + 2p = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = -15 + -7 2p = -15 + -7 Combine like terms: -15 + -7 = -22 2p = -22 Divide each side by '2'. p = -11 Simplifying p = -11
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