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Simplifying 10 + -4w + 5w = 3w + -8 Combine like terms: -4w + 5w = 1w 10 + 1w = 3w + -8 Reorder the terms: 10 + 1w = -8 + 3w Solving 10 + 1w = -8 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 10 + 1w + -3w = -8 + 3w + -3w Combine like terms: 1w + -3w = -2w 10 + -2w = -8 + 3w + -3w Combine like terms: 3w + -3w = 0 10 + -2w = -8 + 0 10 + -2w = -8 Add '-10' to each side of the equation. 10 + -10 + -2w = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = -8 + -10 -2w = -8 + -10 Combine like terms: -8 + -10 = -18 -2w = -18 Divide each side by '-2'. w = 9 Simplifying w = 9
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