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Simplifying 4(-2p + 2) + -5 = 12 + p Reorder the terms: 4(2 + -2p) + -5 = 12 + p (2 * 4 + -2p * 4) + -5 = 12 + p (8 + -8p) + -5 = 12 + p Reorder the terms: 8 + -5 + -8p = 12 + p Combine like terms: 8 + -5 = 3 3 + -8p = 12 + p Solving 3 + -8p = 12 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 3 + -8p + -1p = 12 + p + -1p Combine like terms: -8p + -1p = -9p 3 + -9p = 12 + p + -1p Combine like terms: p + -1p = 0 3 + -9p = 12 + 0 3 + -9p = 12 Add '-3' to each side of the equation. 3 + -3 + -9p = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -9p = 12 + -3 -9p = 12 + -3 Combine like terms: 12 + -3 = 9 -9p = 9 Divide each side by '-9'. p = -1 Simplifying p = -1
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