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Simplifying 4(p + 8) = 8p + 20 Reorder the terms: 4(8 + p) = 8p + 20 (8 * 4 + p * 4) = 8p + 20 (32 + 4p) = 8p + 20 Reorder the terms: 32 + 4p = 20 + 8p Solving 32 + 4p = 20 + 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 + 4p + -8p = 20 + 8p + -8p Combine like terms: 4p + -8p = -4p 32 + -4p = 20 + 8p + -8p Combine like terms: 8p + -8p = 0 32 + -4p = 20 + 0 32 + -4p = 20 Add '-32' to each side of the equation. 32 + -32 + -4p = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -4p = 20 + -32 -4p = 20 + -32 Combine like terms: 20 + -32 = -12 -4p = -12 Divide each side by '-4'. p = 3 Simplifying p = 3
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