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