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Simplifying 3(v + -4) = 2(v + 1) Reorder the terms: 3(-4 + v) = 2(v + 1) (-4 * 3 + v * 3) = 2(v + 1) (-12 + 3v) = 2(v + 1) Reorder the terms: -12 + 3v = 2(1 + v) -12 + 3v = (1 * 2 + v * 2) -12 + 3v = (2 + 2v) Solving -12 + 3v = 2 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -12 + 3v + -2v = 2 + 2v + -2v Combine like terms: 3v + -2v = 1v -12 + 1v = 2 + 2v + -2v Combine like terms: 2v + -2v = 0 -12 + 1v = 2 + 0 -12 + 1v = 2 Add '12' to each side of the equation. -12 + 12 + 1v = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 1v = 2 + 12 1v = 2 + 12 Combine like terms: 2 + 12 = 14 1v = 14 Divide each side by '1'. v = 14 Simplifying v = 14
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