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