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Simplifying -4(v + -3) = -2v + 2 Reorder the terms: -4(-3 + v) = -2v + 2 (-3 * -4 + v * -4) = -2v + 2 (12 + -4v) = -2v + 2 Reorder the terms: 12 + -4v = 2 + -2v Solving 12 + -4v = 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 + -4v + 2v = 2 + -2v + 2v Combine like terms: -4v + 2v = -2v 12 + -2v = 2 + -2v + 2v Combine like terms: -2v + 2v = 0 12 + -2v = 2 + 0 12 + -2v = 2 Add '-12' to each side of the equation. 12 + -12 + -2v = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2v = 2 + -12 -2v = 2 + -12 Combine like terms: 2 + -12 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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