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Simplifying -82 = -4p + 6(2p + -3) Reorder the terms: -82 = -4p + 6(-3 + 2p) -82 = -4p + (-3 * 6 + 2p * 6) -82 = -4p + (-18 + 12p) Reorder the terms: -82 = -18 + -4p + 12p Combine like terms: -4p + 12p = 8p -82 = -18 + 8p Solving -82 = -18 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -82 + -8p = -18 + 8p + -8p Combine like terms: 8p + -8p = 0 -82 + -8p = -18 + 0 -82 + -8p = -18 Add '82' to each side of the equation. -82 + 82 + -8p = -18 + 82 Combine like terms: -82 + 82 = 0 0 + -8p = -18 + 82 -8p = -18 + 82 Combine like terms: -18 + 82 = 64 -8p = 64 Divide each side by '-8'. p = -8 Simplifying p = -8
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