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Simplifying 32 = 8(p + 7) Reorder the terms: 32 = 8(7 + p) 32 = (7 * 8 + p * 8) 32 = (56 + 8p) Solving 32 = 56 + 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. 32 + -8p = 56 + 8p + -8p Combine like terms: 8p + -8p = 0 32 + -8p = 56 + 0 32 + -8p = 56 Add '-32' to each side of the equation. 32 + -32 + -8p = 56 + -32 Combine like terms: 32 + -32 = 0 0 + -8p = 56 + -32 -8p = 56 + -32 Combine like terms: 56 + -32 = 24 -8p = 24 Divide each side by '-8'. p = -3 Simplifying p = -3
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