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Simplifying 7w + -1(6 + -2v) = 12 7w + (6 * -1 + -2v * -1) = 12 7w + (-6 + 2v) = 12 Reorder the terms: -6 + 2v + 7w = 12 Solving -6 + 2v + 7w = 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 + 2v + 6 + 7w = 12 + 6 Reorder the terms: -6 + 6 + 2v + 7w = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2v + 7w = 12 + 6 2v + 7w = 12 + 6 Combine like terms: 12 + 6 = 18 2v + 7w = 18 Add '-7w' to each side of the equation. 2v + 7w + -7w = 18 + -7w Combine like terms: 7w + -7w = 0 2v + 0 = 18 + -7w 2v = 18 + -7w Divide each side by '2'. v = 9 + -3.5w Simplifying v = 9 + -3.5w
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