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Simplifying 2(w + -3) = 1 + -1(v + 4) Reorder the terms: 2(-3 + w) = 1 + -1(v + 4) (-3 * 2 + w * 2) = 1 + -1(v + 4) (-6 + 2w) = 1 + -1(v + 4) Reorder the terms: -6 + 2w = 1 + -1(4 + v) -6 + 2w = 1 + (4 * -1 + v * -1) -6 + 2w = 1 + (-4 + -1v) Combine like terms: 1 + -4 = -3 -6 + 2w = -3 + -1v Solving -6 + 2w = -3 + -1v Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 2w = -3 + 6 + -1v Combine like terms: -6 + 6 = 0 0 + 2w = -3 + 6 + -1v 2w = -3 + 6 + -1v Combine like terms: -3 + 6 = 3 2w = 3 + -1v Divide each side by '2'. w = 1.5 + -0.5v Simplifying w = 1.5 + -0.5v
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