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Simplifying 12p + -1(4p + 6) = 82 Reorder the terms: 12p + -1(6 + 4p) = 82 12p + (6 * -1 + 4p * -1) = 82 12p + (-6 + -4p) = 82 Reorder the terms: -6 + 12p + -4p = 82 Combine like terms: 12p + -4p = 8p -6 + 8p = 82 Solving -6 + 8p = 82 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8p = 82 + 6 Combine like terms: -6 + 6 = 0 0 + 8p = 82 + 6 8p = 82 + 6 Combine like terms: 82 + 6 = 88 8p = 88 Divide each side by '8'. p = 11 Simplifying p = 11
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