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Simplifying 57 = 12(-3 + -4p) + -9(1 + 6p) 57 = (-3 * 12 + -4p * 12) + -9(1 + 6p) 57 = (-36 + -48p) + -9(1 + 6p) 57 = -36 + -48p + (1 * -9 + 6p * -9) 57 = -36 + -48p + (-9 + -54p) Reorder the terms: 57 = -36 + -9 + -48p + -54p Combine like terms: -36 + -9 = -45 57 = -45 + -48p + -54p Combine like terms: -48p + -54p = -102p 57 = -45 + -102p Solving 57 = -45 + -102p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '102p' to each side of the equation. 57 + 102p = -45 + -102p + 102p Combine like terms: -102p + 102p = 0 57 + 102p = -45 + 0 57 + 102p = -45 Add '-57' to each side of the equation. 57 + -57 + 102p = -45 + -57 Combine like terms: 57 + -57 = 0 0 + 102p = -45 + -57 102p = -45 + -57 Combine like terms: -45 + -57 = -102 102p = -102 Divide each side by '102'. p = -1 Simplifying p = -1
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