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Simplifying -3p + -5(4 + -2p) = 5(p + -4) + -12 -3p + (4 * -5 + -2p * -5) = 5(p + -4) + -12 -3p + (-20 + 10p) = 5(p + -4) + -12 Reorder the terms: -20 + -3p + 10p = 5(p + -4) + -12 Combine like terms: -3p + 10p = 7p -20 + 7p = 5(p + -4) + -12 Reorder the terms: -20 + 7p = 5(-4 + p) + -12 -20 + 7p = (-4 * 5 + p * 5) + -12 -20 + 7p = (-20 + 5p) + -12 Reorder the terms: -20 + 7p = -20 + -12 + 5p Combine like terms: -20 + -12 = -32 -20 + 7p = -32 + 5p Solving -20 + 7p = -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 + 7p + -5p = -32 + 5p + -5p Combine like terms: 7p + -5p = 2p -20 + 2p = -32 + 5p + -5p Combine like terms: 5p + -5p = 0 -20 + 2p = -32 + 0 -20 + 2p = -32 Add '20' to each side of the equation. -20 + 20 + 2p = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = -32 + 20 2p = -32 + 20 Combine like terms: -32 + 20 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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