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Simplifying 2(4p + 5) = 6p + 5 Reorder the terms: 2(5 + 4p) = 6p + 5 (5 * 2 + 4p * 2) = 6p + 5 (10 + 8p) = 6p + 5 Reorder the terms: 10 + 8p = 5 + 6p Solving 10 + 8p = 5 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 10 + 8p + -6p = 5 + 6p + -6p Combine like terms: 8p + -6p = 2p 10 + 2p = 5 + 6p + -6p Combine like terms: 6p + -6p = 0 10 + 2p = 5 + 0 10 + 2p = 5 Add '-10' to each side of the equation. 10 + -10 + 2p = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 2p = 5 + -10 2p = 5 + -10 Combine like terms: 5 + -10 = -5 2p = -5 Divide each side by '2'. p = -2.5 Simplifying p = -2.5
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