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Simplifying -2p + -5(4 + -2p) = 5(p + -3) + -17 -2p + (4 * -5 + -2p * -5) = 5(p + -3) + -17 -2p + (-20 + 10p) = 5(p + -3) + -17 Reorder the terms: -20 + -2p + 10p = 5(p + -3) + -17 Combine like terms: -2p + 10p = 8p -20 + 8p = 5(p + -3) + -17 Reorder the terms: -20 + 8p = 5(-3 + p) + -17 -20 + 8p = (-3 * 5 + p * 5) + -17 -20 + 8p = (-15 + 5p) + -17 Reorder the terms: -20 + 8p = -15 + -17 + 5p Combine like terms: -15 + -17 = -32 -20 + 8p = -32 + 5p Solving -20 + 8p = -32 + 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. -20 + 8p + -5p = -32 + 5p + -5p Combine like terms: 8p + -5p = 3p -20 + 3p = -32 + 5p + -5p Combine like terms: 5p + -5p = 0 -20 + 3p = -32 + 0 -20 + 3p = -32 Add '20' to each side of the equation. -20 + 20 + 3p = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 3p = -32 + 20 3p = -32 + 20 Combine like terms: -32 + 20 = -12 3p = -12 Divide each side by '3'. p = -4 Simplifying p = -4
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