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Simplifying -2p + -3(5 + -2p) = 2(p + -4) + -17 -2p + (5 * -3 + -2p * -3) = 2(p + -4) + -17 -2p + (-15 + 6p) = 2(p + -4) + -17 Reorder the terms: -15 + -2p + 6p = 2(p + -4) + -17 Combine like terms: -2p + 6p = 4p -15 + 4p = 2(p + -4) + -17 Reorder the terms: -15 + 4p = 2(-4 + p) + -17 -15 + 4p = (-4 * 2 + p * 2) + -17 -15 + 4p = (-8 + 2p) + -17 Reorder the terms: -15 + 4p = -8 + -17 + 2p Combine like terms: -8 + -17 = -25 -15 + 4p = -25 + 2p Solving -15 + 4p = -25 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -15 + 4p + -2p = -25 + 2p + -2p Combine like terms: 4p + -2p = 2p -15 + 2p = -25 + 2p + -2p Combine like terms: 2p + -2p = 0 -15 + 2p = -25 + 0 -15 + 2p = -25 Add '15' to each side of the equation. -15 + 15 + 2p = -25 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = -25 + 15 2p = -25 + 15 Combine like terms: -25 + 15 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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