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Simplifying (3w + -5w + -4) + (7w + -1w + 6) = 0 Reorder the terms: (-4 + 3w + -5w) + (7w + -1w + 6) = 0 Combine like terms: 3w + -5w = -2w (-4 + -2w) + (7w + -1w + 6) = 0 Remove parenthesis around (-4 + -2w) -4 + -2w + (7w + -1w + 6) = 0 Reorder the terms: -4 + -2w + (6 + 7w + -1w) = 0 Combine like terms: 7w + -1w = 6w -4 + -2w + (6 + 6w) = 0 Remove parenthesis around (6 + 6w) -4 + -2w + 6 + 6w = 0 Reorder the terms: -4 + 6 + -2w + 6w = 0 Combine like terms: -4 + 6 = 2 2 + -2w + 6w = 0 Combine like terms: -2w + 6w = 4w 2 + 4w = 0 Solving 2 + 4w = 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 + 4w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4w = 0 + -2 4w = 0 + -2 Combine like terms: 0 + -2 = -2 4w = -2 Divide each side by '4'. w = -0.5 Simplifying w = -0.5
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