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Simplifying -3(2p + -4) = 3(p + 12) Reorder the terms: -3(-4 + 2p) = 3(p + 12) (-4 * -3 + 2p * -3) = 3(p + 12) (12 + -6p) = 3(p + 12) Reorder the terms: 12 + -6p = 3(12 + p) 12 + -6p = (12 * 3 + p * 3) 12 + -6p = (36 + 3p) Solving 12 + -6p = 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. 12 + -6p + -3p = 36 + 3p + -3p Combine like terms: -6p + -3p = -9p 12 + -9p = 36 + 3p + -3p Combine like terms: 3p + -3p = 0 12 + -9p = 36 + 0 12 + -9p = 36 Add '-12' to each side of the equation. 12 + -12 + -9p = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -9p = 36 + -12 -9p = 36 + -12 Combine like terms: 36 + -12 = 24 -9p = 24 Divide each side by '-9'. p = -2.666666667 Simplifying p = -2.666666667
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