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Simplifying -64 = -8(p + 1) Reorder the terms: -64 = -8(1 + p) -64 = (1 * -8 + p * -8) -64 = (-8 + -8p) Solving -64 = -8 + -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. -64 + 8p = -8 + -8p + 8p Combine like terms: -8p + 8p = 0 -64 + 8p = -8 + 0 -64 + 8p = -8 Add '64' to each side of the equation. -64 + 64 + 8p = -8 + 64 Combine like terms: -64 + 64 = 0 0 + 8p = -8 + 64 8p = -8 + 64 Combine like terms: -8 + 64 = 56 8p = 56 Divide each side by '8'. p = 7 Simplifying p = 7
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