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Simplifying 102 = -3(4p + -2) Reorder the terms: 102 = -3(-2 + 4p) 102 = (-2 * -3 + 4p * -3) 102 = (6 + -12p) Solving 102 = 6 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. 102 + 12p = 6 + -12p + 12p Combine like terms: -12p + 12p = 0 102 + 12p = 6 + 0 102 + 12p = 6 Add '-102' to each side of the equation. 102 + -102 + 12p = 6 + -102 Combine like terms: 102 + -102 = 0 0 + 12p = 6 + -102 12p = 6 + -102 Combine like terms: 6 + -102 = -96 12p = -96 Divide each side by '12'. p = -8 Simplifying p = -8
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