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Simplifying 12(8p + -6) + -10p = 444 Reorder the terms: 12(-6 + 8p) + -10p = 444 (-6 * 12 + 8p * 12) + -10p = 444 (-72 + 96p) + -10p = 444 Combine like terms: 96p + -10p = 86p -72 + 86p = 444 Solving -72 + 86p = 444 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 86p = 444 + 72 Combine like terms: -72 + 72 = 0 0 + 86p = 444 + 72 86p = 444 + 72 Combine like terms: 444 + 72 = 516 86p = 516 Divide each side by '86'. p = 6 Simplifying p = 6
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