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Simplifying -102 = 3(8p + 6) + 6p Reorder the terms: -102 = 3(6 + 8p) + 6p -102 = (6 * 3 + 8p * 3) + 6p -102 = (18 + 24p) + 6p Combine like terms: 24p + 6p = 30p -102 = 18 + 30p Solving -102 = 18 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. -102 + -30p = 18 + 30p + -30p Combine like terms: 30p + -30p = 0 -102 + -30p = 18 + 0 -102 + -30p = 18 Add '102' to each side of the equation. -102 + 102 + -30p = 18 + 102 Combine like terms: -102 + 102 = 0 0 + -30p = 18 + 102 -30p = 18 + 102 Combine like terms: 18 + 102 = 120 -30p = 120 Divide each side by '-30'. p = -4 Simplifying p = -4
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