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Simplifying -4(p + -2) + 8 = 2(p + -1) + -7p + 15 Reorder the terms: -4(-2 + p) + 8 = 2(p + -1) + -7p + 15 (-2 * -4 + p * -4) + 8 = 2(p + -1) + -7p + 15 (8 + -4p) + 8 = 2(p + -1) + -7p + 15 Reorder the terms: 8 + 8 + -4p = 2(p + -1) + -7p + 15 Combine like terms: 8 + 8 = 16 16 + -4p = 2(p + -1) + -7p + 15 Reorder the terms: 16 + -4p = 2(-1 + p) + -7p + 15 16 + -4p = (-1 * 2 + p * 2) + -7p + 15 16 + -4p = (-2 + 2p) + -7p + 15 Reorder the terms: 16 + -4p = -2 + 15 + 2p + -7p Combine like terms: -2 + 15 = 13 16 + -4p = 13 + 2p + -7p Combine like terms: 2p + -7p = -5p 16 + -4p = 13 + -5p Solving 16 + -4p = 13 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 16 + -4p + 5p = 13 + -5p + 5p Combine like terms: -4p + 5p = 1p 16 + 1p = 13 + -5p + 5p Combine like terms: -5p + 5p = 0 16 + 1p = 13 + 0 16 + 1p = 13 Add '-16' to each side of the equation. 16 + -16 + 1p = 13 + -16 Combine like terms: 16 + -16 = 0 0 + 1p = 13 + -16 1p = 13 + -16 Combine like terms: 13 + -16 = -3 1p = -3 Divide each side by '1'. p = -3 Simplifying p = -3
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