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Simplifying 2(p + 5) + -2p = -1(p + 3) + 7 Reorder the terms: 2(5 + p) + -2p = -1(p + 3) + 7 (5 * 2 + p * 2) + -2p = -1(p + 3) + 7 (10 + 2p) + -2p = -1(p + 3) + 7 Combine like terms: 2p + -2p = 0 10 + 0 = -1(p + 3) + 7 10 = -1(p + 3) + 7 Reorder the terms: 10 = -1(3 + p) + 7 10 = (3 * -1 + p * -1) + 7 10 = (-3 + -1p) + 7 Reorder the terms: 10 = -3 + 7 + -1p Combine like terms: -3 + 7 = 4 10 = 4 + -1p Solving 10 = 4 + -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. 10 + p = 4 + -1p + p Combine like terms: -1p + p = 0 10 + p = 4 + 0 10 + p = 4 Add '-10' to each side of the equation. 10 + -10 + p = 4 + -10 Combine like terms: 10 + -10 = 0 0 + p = 4 + -10 p = 4 + -10 Combine like terms: 4 + -10 = -6 p = -6 Simplifying p = -6
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