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Simplifying 4(2p + 6) + 8p + -14 = 58 Reorder the terms: 4(6 + 2p) + 8p + -14 = 58 (6 * 4 + 2p * 4) + 8p + -14 = 58 (24 + 8p) + 8p + -14 = 58 Reorder the terms: 24 + -14 + 8p + 8p = 58 Combine like terms: 24 + -14 = 10 10 + 8p + 8p = 58 Combine like terms: 8p + 8p = 16p 10 + 16p = 58 Solving 10 + 16p = 58 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 16p = 58 + -10 Combine like terms: 10 + -10 = 0 0 + 16p = 58 + -10 16p = 58 + -10 Combine like terms: 58 + -10 = 48 16p = 48 Divide each side by '16'. p = 3 Simplifying p = 3
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