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Simplifying 4v + -2(v + 5) = -1(2w + 7) + w Reorder the terms: 4v + -2(5 + v) = -1(2w + 7) + w 4v + (5 * -2 + v * -2) = -1(2w + 7) + w 4v + (-10 + -2v) = -1(2w + 7) + w Reorder the terms: -10 + 4v + -2v = -1(2w + 7) + w Combine like terms: 4v + -2v = 2v -10 + 2v = -1(2w + 7) + w Reorder the terms: -10 + 2v = -1(7 + 2w) + w -10 + 2v = (7 * -1 + 2w * -1) + w -10 + 2v = (-7 + -2w) + w Combine like terms: -2w + w = -1w -10 + 2v = -7 + -1w Solving -10 + 2v = -7 + -1w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2v = -7 + 10 + -1w Combine like terms: -10 + 10 = 0 0 + 2v = -7 + 10 + -1w 2v = -7 + 10 + -1w Combine like terms: -7 + 10 = 3 2v = 3 + -1w Divide each side by '2'. v = 1.5 + -0.5w Simplifying v = 1.5 + -0.5w
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