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Simplifying 2(v + -3) = 1 + -1(w + 4) Reorder the terms: 2(-3 + v) = 1 + -1(w + 4) (-3 * 2 + v * 2) = 1 + -1(w + 4) (-6 + 2v) = 1 + -1(w + 4) Reorder the terms: -6 + 2v = 1 + -1(4 + w) -6 + 2v = 1 + (4 * -1 + w * -1) -6 + 2v = 1 + (-4 + -1w) Combine like terms: 1 + -4 = -3 -6 + 2v = -3 + -1w Solving -6 + 2v = -3 + -1w 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 = -3 + 6 + -1w Combine like terms: -6 + 6 = 0 0 + 2v = -3 + 6 + -1w 2v = -3 + 6 + -1w Combine like terms: -3 + 6 = 3 2v = 3 + -1w Divide each side by '2'. v = 1.5 + -0.5w Simplifying v = 1.5 + -0.5w
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