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Simplifying 12p + -1(9p + -7) = 2(p + 8) Reorder the terms: 12p + -1(-7 + 9p) = 2(p + 8) 12p + (-7 * -1 + 9p * -1) = 2(p + 8) 12p + (7 + -9p) = 2(p + 8) Reorder the terms: 7 + 12p + -9p = 2(p + 8) Combine like terms: 12p + -9p = 3p 7 + 3p = 2(p + 8) Reorder the terms: 7 + 3p = 2(8 + p) 7 + 3p = (8 * 2 + p * 2) 7 + 3p = (16 + 2p) Solving 7 + 3p = 16 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 7 + 3p + -2p = 16 + 2p + -2p Combine like terms: 3p + -2p = 1p 7 + 1p = 16 + 2p + -2p Combine like terms: 2p + -2p = 0 7 + 1p = 16 + 0 7 + 1p = 16 Add '-7' to each side of the equation. 7 + -7 + 1p = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 1p = 16 + -7 1p = 16 + -7 Combine like terms: 16 + -7 = 9 1p = 9 Divide each side by '1'. p = 9 Simplifying p = 9
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