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Simplifying -3 = v + -6v + 3(v + -4) Reorder the terms: -3 = v + -6v + 3(-4 + v) -3 = v + -6v + (-4 * 3 + v * 3) -3 = v + -6v + (-12 + 3v) Reorder the terms: -3 = -12 + v + -6v + 3v Combine like terms: v + -6v = -5v -3 = -12 + -5v + 3v Combine like terms: -5v + 3v = -2v -3 = -12 + -2v Solving -3 = -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. -3 + 2v = -12 + -2v + 2v Combine like terms: -2v + 2v = 0 -3 + 2v = -12 + 0 -3 + 2v = -12 Add '3' to each side of the equation. -3 + 3 + 2v = -12 + 3 Combine like terms: -3 + 3 = 0 0 + 2v = -12 + 3 2v = -12 + 3 Combine like terms: -12 + 3 = -9 2v = -9 Divide each side by '2'. v = -4.5 Simplifying v = -4.5
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