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Simplifying 2(w + 3) + 4(w + -1) = 0 Reorder the terms: 2(3 + w) + 4(w + -1) = 0 (3 * 2 + w * 2) + 4(w + -1) = 0 (6 + 2w) + 4(w + -1) = 0 Reorder the terms: 6 + 2w + 4(-1 + w) = 0 6 + 2w + (-1 * 4 + w * 4) = 0 6 + 2w + (-4 + 4w) = 0 Reorder the terms: 6 + -4 + 2w + 4w = 0 Combine like terms: 6 + -4 = 2 2 + 2w + 4w = 0 Combine like terms: 2w + 4w = 6w 2 + 6w = 0 Solving 2 + 6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6w = 0 + -2 6w = 0 + -2 Combine like terms: 0 + -2 = -2 6w = -2 Divide each side by '6'. w = -0.3333333333 Simplifying w = -0.3333333333
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