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Simplifying -4(p + -8) + 8 = 2(p + -1) + -7p + 15 Reorder the terms: -4(-8 + p) + 8 = 2(p + -1) + -7p + 15 (-8 * -4 + p * -4) + 8 = 2(p + -1) + -7p + 15 (32 + -4p) + 8 = 2(p + -1) + -7p + 15 Reorder the terms: 32 + 8 + -4p = 2(p + -1) + -7p + 15 Combine like terms: 32 + 8 = 40 40 + -4p = 2(p + -1) + -7p + 15 Reorder the terms: 40 + -4p = 2(-1 + p) + -7p + 15 40 + -4p = (-1 * 2 + p * 2) + -7p + 15 40 + -4p = (-2 + 2p) + -7p + 15 Reorder the terms: 40 + -4p = -2 + 15 + 2p + -7p Combine like terms: -2 + 15 = 13 40 + -4p = 13 + 2p + -7p Combine like terms: 2p + -7p = -5p 40 + -4p = 13 + -5p Solving 40 + -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. 40 + -4p + 5p = 13 + -5p + 5p Combine like terms: -4p + 5p = 1p 40 + 1p = 13 + -5p + 5p Combine like terms: -5p + 5p = 0 40 + 1p = 13 + 0 40 + 1p = 13 Add '-40' to each side of the equation. 40 + -40 + 1p = 13 + -40 Combine like terms: 40 + -40 = 0 0 + 1p = 13 + -40 1p = 13 + -40 Combine like terms: 13 + -40 = -27 1p = -27 Divide each side by '1'. p = -27 Simplifying p = -27
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