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Simplifying (5w + -3w) + (-3w + 8) + (5w + -8) = 0 Combine like terms: 5w + -3w = 2w (2w) + (-3w + 8) + (5w + -8) = 0 (2w) + (-3w + 8) + (5w + -8) = 0 Reorder the terms: (2w) + (8 + -3w) + (5w + -8) = 0 Remove parenthesis around (8 + -3w) (2w) + 8 + -3w + (5w + -8) = 0 Reorder the terms: (2w) + 8 + -3w + (-8 + 5w) = 0 Remove parenthesis around (-8 + 5w) (2w) + 8 + -3w + -8 + 5w = 0 Reorder the terms: 8 + -8 + (2w) + -3w + 5w = 0 Combine like terms: 8 + -8 = 0 0 + (2w) + -3w + 5w = 0 (2w) + -3w + 5w = 0 Combine like terms: (2w) + -3w = -1w -1w + 5w = 0 Combine like terms: -1w + 5w = 4w 4w = 0 Solving 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Divide each side by '4'. w = 0 Simplifying w = 0
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