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Simplifying -8p + 32 = -2(1 + 8p) + 2 Reorder the terms: 32 + -8p = -2(1 + 8p) + 2 32 + -8p = (1 * -2 + 8p * -2) + 2 32 + -8p = (-2 + -16p) + 2 Reorder the terms: 32 + -8p = -2 + 2 + -16p Combine like terms: -2 + 2 = 0 32 + -8p = 0 + -16p 32 + -8p = -16p Solving 32 + -8p = -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. 32 + -8p + 16p = -16p + 16p Combine like terms: -8p + 16p = 8p 32 + 8p = -16p + 16p Combine like terms: -16p + 16p = 0 32 + 8p = 0 Add '-32' to each side of the equation. 32 + -32 + 8p = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8p = 0 + -32 8p = 0 + -32 Combine like terms: 0 + -32 = -32 8p = -32 Divide each side by '8'. p = -4 Simplifying p = -4
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