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Simplifying 4(v + -2) + -3v = 2(v + -6) Reorder the terms: 4(-2 + v) + -3v = 2(v + -6) (-2 * 4 + v * 4) + -3v = 2(v + -6) (-8 + 4v) + -3v = 2(v + -6) Combine like terms: 4v + -3v = 1v -8 + 1v = 2(v + -6) Reorder the terms: -8 + 1v = 2(-6 + v) -8 + 1v = (-6 * 2 + v * 2) -8 + 1v = (-12 + 2v) Solving -8 + 1v = -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. -8 + 1v + -2v = -12 + 2v + -2v Combine like terms: 1v + -2v = -1v -8 + -1v = -12 + 2v + -2v Combine like terms: 2v + -2v = 0 -8 + -1v = -12 + 0 -8 + -1v = -12 Add '8' to each side of the equation. -8 + 8 + -1v = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = -12 + 8 -1v = -12 + 8 Combine like terms: -12 + 8 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4
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