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Simplifying -57 = -1(-1p + 1) + 2(6 + 8p) Reorder the terms: -57 = -1(1 + -1p) + 2(6 + 8p) -57 = (1 * -1 + -1p * -1) + 2(6 + 8p) -57 = (-1 + 1p) + 2(6 + 8p) -57 = -1 + 1p + (6 * 2 + 8p * 2) -57 = -1 + 1p + (12 + 16p) Reorder the terms: -57 = -1 + 12 + 1p + 16p Combine like terms: -1 + 12 = 11 -57 = 11 + 1p + 16p Combine like terms: 1p + 16p = 17p -57 = 11 + 17p Solving -57 = 11 + 17p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-17p' to each side of the equation. -57 + -17p = 11 + 17p + -17p Combine like terms: 17p + -17p = 0 -57 + -17p = 11 + 0 -57 + -17p = 11 Add '57' to each side of the equation. -57 + 57 + -17p = 11 + 57 Combine like terms: -57 + 57 = 0 0 + -17p = 11 + 57 -17p = 11 + 57 Combine like terms: 11 + 57 = 68 -17p = 68 Divide each side by '-17'. p = -4 Simplifying p = -4
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