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Simplifying -8(-1p + -1) = 12(-5 + -4p) + -12p Reorder the terms: -8(-1 + -1p) = 12(-5 + -4p) + -12p (-1 * -8 + -1p * -8) = 12(-5 + -4p) + -12p (8 + 8p) = 12(-5 + -4p) + -12p 8 + 8p = (-5 * 12 + -4p * 12) + -12p 8 + 8p = (-60 + -48p) + -12p Combine like terms: -48p + -12p = -60p 8 + 8p = -60 + -60p Solving 8 + 8p = -60 + -60p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '60p' to each side of the equation. 8 + 8p + 60p = -60 + -60p + 60p Combine like terms: 8p + 60p = 68p 8 + 68p = -60 + -60p + 60p Combine like terms: -60p + 60p = 0 8 + 68p = -60 + 0 8 + 68p = -60 Add '-8' to each side of the equation. 8 + -8 + 68p = -60 + -8 Combine like terms: 8 + -8 = 0 0 + 68p = -60 + -8 68p = -60 + -8 Combine like terms: -60 + -8 = -68 68p = -68 Divide each side by '68'. p = -1 Simplifying p = -1
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