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Simplifying 4(8p + 5) + -4p = 76 Reorder the terms: 4(5 + 8p) + -4p = 76 (5 * 4 + 8p * 4) + -4p = 76 (20 + 32p) + -4p = 76 Combine like terms: 32p + -4p = 28p 20 + 28p = 76 Solving 20 + 28p = 76 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 28p = 76 + -20 Combine like terms: 20 + -20 = 0 0 + 28p = 76 + -20 28p = 76 + -20 Combine like terms: 76 + -20 = 56 28p = 56 Divide each side by '28'. p = 2 Simplifying p = 2
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