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Simplifying 25 + -5(p + 2) = 2(2p + -15) + p Reorder the terms: 25 + -5(2 + p) = 2(2p + -15) + p 25 + (2 * -5 + p * -5) = 2(2p + -15) + p 25 + (-10 + -5p) = 2(2p + -15) + p Combine like terms: 25 + -10 = 15 15 + -5p = 2(2p + -15) + p Reorder the terms: 15 + -5p = 2(-15 + 2p) + p 15 + -5p = (-15 * 2 + 2p * 2) + p 15 + -5p = (-30 + 4p) + p Combine like terms: 4p + p = 5p 15 + -5p = -30 + 5p Solving 15 + -5p = -30 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 15 + -5p + -5p = -30 + 5p + -5p Combine like terms: -5p + -5p = -10p 15 + -10p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 15 + -10p = -30 + 0 15 + -10p = -30 Add '-15' to each side of the equation. 15 + -15 + -10p = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -10p = -30 + -15 -10p = -30 + -15 Combine like terms: -30 + -15 = -45 -10p = -45 Divide each side by '-10'. p = 4.5 Simplifying p = 4.5
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