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Simplifying -8p + 10 = -9(-1p + 4) + (7 + -4p) Reorder the terms: 10 + -8p = -9(-1p + 4) + (7 + -4p) Reorder the terms: 10 + -8p = -9(4 + -1p) + (7 + -4p) 10 + -8p = (4 * -9 + -1p * -9) + (7 + -4p) 10 + -8p = (-36 + 9p) + (7 + -4p) Remove parenthesis around (7 + -4p) 10 + -8p = -36 + 9p + 7 + -4p Reorder the terms: 10 + -8p = -36 + 7 + 9p + -4p Combine like terms: -36 + 7 = -29 10 + -8p = -29 + 9p + -4p Combine like terms: 9p + -4p = 5p 10 + -8p = -29 + 5p Solving 10 + -8p = -29 + 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. 10 + -8p + -5p = -29 + 5p + -5p Combine like terms: -8p + -5p = -13p 10 + -13p = -29 + 5p + -5p Combine like terms: 5p + -5p = 0 10 + -13p = -29 + 0 10 + -13p = -29 Add '-10' to each side of the equation. 10 + -10 + -13p = -29 + -10 Combine like terms: 10 + -10 = 0 0 + -13p = -29 + -10 -13p = -29 + -10 Combine like terms: -29 + -10 = -39 -13p = -39 Divide each side by '-13'. p = 3 Simplifying p = 3
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