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Simplifying -3p + -2(2 + -5p) = 5(p + -4) + -8 -3p + (2 * -2 + -5p * -2) = 5(p + -4) + -8 -3p + (-4 + 10p) = 5(p + -4) + -8 Reorder the terms: -4 + -3p + 10p = 5(p + -4) + -8 Combine like terms: -3p + 10p = 7p -4 + 7p = 5(p + -4) + -8 Reorder the terms: -4 + 7p = 5(-4 + p) + -8 -4 + 7p = (-4 * 5 + p * 5) + -8 -4 + 7p = (-20 + 5p) + -8 Reorder the terms: -4 + 7p = -20 + -8 + 5p Combine like terms: -20 + -8 = -28 -4 + 7p = -28 + 5p Solving -4 + 7p = -28 + 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. -4 + 7p + -5p = -28 + 5p + -5p Combine like terms: 7p + -5p = 2p -4 + 2p = -28 + 5p + -5p Combine like terms: 5p + -5p = 0 -4 + 2p = -28 + 0 -4 + 2p = -28 Add '4' to each side of the equation. -4 + 4 + 2p = -28 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = -28 + 4 2p = -28 + 4 Combine like terms: -28 + 4 = -24 2p = -24 Divide each side by '2'. p = -12 Simplifying p = -12
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