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Simplifying -8(1 + -4p) + -8(3p + -1) = 24 (1 * -8 + -4p * -8) + -8(3p + -1) = 24 (-8 + 32p) + -8(3p + -1) = 24 Reorder the terms: -8 + 32p + -8(-1 + 3p) = 24 -8 + 32p + (-1 * -8 + 3p * -8) = 24 -8 + 32p + (8 + -24p) = 24 Reorder the terms: -8 + 8 + 32p + -24p = 24 Combine like terms: -8 + 8 = 0 0 + 32p + -24p = 24 32p + -24p = 24 Combine like terms: 32p + -24p = 8p 8p = 24 Solving 8p = 24 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by '8'. p = 3 Simplifying p = 3
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