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Simplifying 3(4p + 5) = 2(-10 + 5p) Reorder the terms: 3(5 + 4p) = 2(-10 + 5p) (5 * 3 + 4p * 3) = 2(-10 + 5p) (15 + 12p) = 2(-10 + 5p) 15 + 12p = (-10 * 2 + 5p * 2) 15 + 12p = (-20 + 10p) Solving 15 + 12p = -20 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 15 + 12p + -10p = -20 + 10p + -10p Combine like terms: 12p + -10p = 2p 15 + 2p = -20 + 10p + -10p Combine like terms: 10p + -10p = 0 15 + 2p = -20 + 0 15 + 2p = -20 Add '-15' to each side of the equation. 15 + -15 + 2p = -20 + -15 Combine like terms: 15 + -15 = 0 0 + 2p = -20 + -15 2p = -20 + -15 Combine like terms: -20 + -15 = -35 2p = -35 Divide each side by '2'. p = -17.5 Simplifying p = -17.5
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