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Simplifying -102 = -6(2p + 1) Reorder the terms: -102 = -6(1 + 2p) -102 = (1 * -6 + 2p * -6) -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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