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Simplifying 2(v + -2) + -4v = 14 Reorder the terms: 2(-2 + v) + -4v = 14 (-2 * 2 + v * 2) + -4v = 14 (-4 + 2v) + -4v = 14 Combine like terms: 2v + -4v = -2v -4 + -2v = 14 Solving -4 + -2v = 14 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -2v = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -2v = 14 + 4 -2v = 14 + 4 Combine like terms: 14 + 4 = 18 -2v = 18 Divide each side by '-2'. v = -9 Simplifying v = -9
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