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Simplifying 2p + 8 = -1(9p + 4) + 5(-2 + 2p) Reorder the terms: 8 + 2p = -1(9p + 4) + 5(-2 + 2p) Reorder the terms: 8 + 2p = -1(4 + 9p) + 5(-2 + 2p) 8 + 2p = (4 * -1 + 9p * -1) + 5(-2 + 2p) 8 + 2p = (-4 + -9p) + 5(-2 + 2p) 8 + 2p = -4 + -9p + (-2 * 5 + 2p * 5) 8 + 2p = -4 + -9p + (-10 + 10p) Reorder the terms: 8 + 2p = -4 + -10 + -9p + 10p Combine like terms: -4 + -10 = -14 8 + 2p = -14 + -9p + 10p Combine like terms: -9p + 10p = 1p 8 + 2p = -14 + 1p Solving 8 + 2p = -14 + 1p 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. 8 + 2p + -1p = -14 + 1p + -1p Combine like terms: 2p + -1p = 1p 8 + 1p = -14 + 1p + -1p Combine like terms: 1p + -1p = 0 8 + 1p = -14 + 0 8 + 1p = -14 Add '-8' to each side of the equation. 8 + -8 + 1p = -14 + -8 Combine like terms: 8 + -8 = 0 0 + 1p = -14 + -8 1p = -14 + -8 Combine like terms: -14 + -8 = -22 1p = -22 Divide each side by '1'. p = -22 Simplifying p = -22
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