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Simplifying -1(-11p + -12) + 8(12 + -6p) = -1p + -9p Reorder the terms: -1(-12 + -11p) + 8(12 + -6p) = -1p + -9p (-12 * -1 + -11p * -1) + 8(12 + -6p) = -1p + -9p (12 + 11p) + 8(12 + -6p) = -1p + -9p 12 + 11p + (12 * 8 + -6p * 8) = -1p + -9p 12 + 11p + (96 + -48p) = -1p + -9p Reorder the terms: 12 + 96 + 11p + -48p = -1p + -9p Combine like terms: 12 + 96 = 108 108 + 11p + -48p = -1p + -9p Combine like terms: 11p + -48p = -37p 108 + -37p = -1p + -9p Combine like terms: -1p + -9p = -10p 108 + -37p = -10p Solving 108 + -37p = -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 108 + -37p + 10p = -10p + 10p Combine like terms: -37p + 10p = -27p 108 + -27p = -10p + 10p Combine like terms: -10p + 10p = 0 108 + -27p = 0 Add '-108' to each side of the equation. 108 + -108 + -27p = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -27p = 0 + -108 -27p = 0 + -108 Combine like terms: 0 + -108 = -108 -27p = -108 Divide each side by '-27'. p = 4 Simplifying p = 4
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