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Simplifying 3(2p + -4) = 2(4p + -1) Reorder the terms: 3(-4 + 2p) = 2(4p + -1) (-4 * 3 + 2p * 3) = 2(4p + -1) (-12 + 6p) = 2(4p + -1) Reorder the terms: -12 + 6p = 2(-1 + 4p) -12 + 6p = (-1 * 2 + 4p * 2) -12 + 6p = (-2 + 8p) Solving -12 + 6p = -2 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -12 + 6p + -8p = -2 + 8p + -8p Combine like terms: 6p + -8p = -2p -12 + -2p = -2 + 8p + -8p Combine like terms: 8p + -8p = 0 -12 + -2p = -2 + 0 -12 + -2p = -2 Add '12' to each side of the equation. -12 + 12 + -2p = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -2p = -2 + 12 -2p = -2 + 12 Combine like terms: -2 + 12 = 10 -2p = 10 Divide each side by '-2'. p = -5 Simplifying p = -5
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