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Simplifying 4(3 + 2v) = 3(2v + -8) (3 * 4 + 2v * 4) = 3(2v + -8) (12 + 8v) = 3(2v + -8) Reorder the terms: 12 + 8v = 3(-8 + 2v) 12 + 8v = (-8 * 3 + 2v * 3) 12 + 8v = (-24 + 6v) Solving 12 + 8v = -24 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 12 + 8v + -6v = -24 + 6v + -6v Combine like terms: 8v + -6v = 2v 12 + 2v = -24 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + 2v = -24 + 0 12 + 2v = -24 Add '-12' to each side of the equation. 12 + -12 + 2v = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 2v = -24 + -12 2v = -24 + -12 Combine like terms: -24 + -12 = -36 2v = -36 Divide each side by '2'. v = -18 Simplifying v = -18
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