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Simplifying 4p + -4p = -1(1 + -5p) + -2(p + 7) Combine like terms: 4p + -4p = 0 0 = -1(1 + -5p) + -2(p + 7) 0 = (1 * -1 + -5p * -1) + -2(p + 7) 0 = (-1 + 5p) + -2(p + 7) Reorder the terms: 0 = -1 + 5p + -2(7 + p) 0 = -1 + 5p + (7 * -2 + p * -2) 0 = -1 + 5p + (-14 + -2p) Reorder the terms: 0 = -1 + -14 + 5p + -2p Combine like terms: -1 + -14 = -15 0 = -15 + 5p + -2p Combine like terms: 5p + -2p = 3p 0 = -15 + 3p Solving 0 = -15 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 0 + -3p = -15 + 3p + -3p Remove the zero: -3p = -15 + 3p + -3p Combine like terms: 3p + -3p = 0 -3p = -15 + 0 -3p = -15 Divide each side by '-3'. p = 5 Simplifying p = 5
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