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Simplifying -96 = -1p + -8(p + 3) Reorder the terms: -96 = -1p + -8(3 + p) -96 = -1p + (3 * -8 + p * -8) -96 = -1p + (-24 + -8p) Reorder the terms: -96 = -24 + -1p + -8p Combine like terms: -1p + -8p = -9p -96 = -24 + -9p Solving -96 = -24 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -96 + 9p = -24 + -9p + 9p Combine like terms: -9p + 9p = 0 -96 + 9p = -24 + 0 -96 + 9p = -24 Add '96' to each side of the equation. -96 + 96 + 9p = -24 + 96 Combine like terms: -96 + 96 = 0 0 + 9p = -24 + 96 9p = -24 + 96 Combine like terms: -24 + 96 = 72 9p = 72 Divide each side by '9'. p = 8 Simplifying p = 8
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