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Simplifying 32 = 8(p + 3) Reorder the terms: 32 = 8(3 + p) 32 = (3 * 8 + p * 8) 32 = (24 + 8p) Solving 32 = 24 + 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 = 24 + 8p + -8p Combine like terms: 8p + -8p = 0 32 + -8p = 24 + 0 32 + -8p = 24 Add '-32' to each side of the equation. 32 + -32 + -8p = 24 + -32 Combine like terms: 32 + -32 = 0 0 + -8p = 24 + -32 -8p = 24 + -32 Combine like terms: 24 + -32 = -8 -8p = -8 Divide each side by '-8'. p = 1 Simplifying p = 1
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