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Simplifying -2(2p + -4) = 3(p + 12) Reorder the terms: -2(-4 + 2p) = 3(p + 12) (-4 * -2 + 2p * -2) = 3(p + 12) (8 + -4p) = 3(p + 12) Reorder the terms: 8 + -4p = 3(12 + p) 8 + -4p = (12 * 3 + p * 3) 8 + -4p = (36 + 3p) Solving 8 + -4p = 36 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 8 + -4p + -3p = 36 + 3p + -3p Combine like terms: -4p + -3p = -7p 8 + -7p = 36 + 3p + -3p Combine like terms: 3p + -3p = 0 8 + -7p = 36 + 0 8 + -7p = 36 Add '-8' to each side of the equation. 8 + -8 + -7p = 36 + -8 Combine like terms: 8 + -8 = 0 0 + -7p = 36 + -8 -7p = 36 + -8 Combine like terms: 36 + -8 = 28 -7p = 28 Divide each side by '-7'. p = -4 Simplifying p = -4
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