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Simplifying -5v + 3(v + -2) = -12 Reorder the terms: -5v + 3(-2 + v) = -12 -5v + (-2 * 3 + v * 3) = -12 -5v + (-6 + 3v) = -12 Reorder the terms: -6 + -5v + 3v = -12 Combine like terms: -5v + 3v = -2v -6 + -2v = -12 Solving -6 + -2v = -12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -2v = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -2v = -12 + 6 -2v = -12 + 6 Combine like terms: -12 + 6 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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