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Simplifying 10w + 18 + 3w = -5w + 36 + -1w Reorder the terms: 18 + 10w + 3w = -5w + 36 + -1w Combine like terms: 10w + 3w = 13w 18 + 13w = -5w + 36 + -1w Reorder the terms: 18 + 13w = 36 + -5w + -1w Combine like terms: -5w + -1w = -6w 18 + 13w = 36 + -6w Solving 18 + 13w = 36 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 18 + 13w + 6w = 36 + -6w + 6w Combine like terms: 13w + 6w = 19w 18 + 19w = 36 + -6w + 6w Combine like terms: -6w + 6w = 0 18 + 19w = 36 + 0 18 + 19w = 36 Add '-18' to each side of the equation. 18 + -18 + 19w = 36 + -18 Combine like terms: 18 + -18 = 0 0 + 19w = 36 + -18 19w = 36 + -18 Combine like terms: 36 + -18 = 18 19w = 18 Divide each side by '19'. w = 0.9473684211 Simplifying w = 0.9473684211
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