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Simplifying 9w + 4 + -3w = 18.5 + 2w + -5.3 Reorder the terms: 4 + 9w + -3w = 18.5 + 2w + -5.3 Combine like terms: 9w + -3w = 6w 4 + 6w = 18.5 + 2w + -5.3 Reorder the terms: 4 + 6w = 18.5 + -5.3 + 2w Combine like terms: 18.5 + -5.3 = 13.2 4 + 6w = 13.2 + 2w Solving 4 + 6w = 13.2 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 4 + 6w + -2w = 13.2 + 2w + -2w Combine like terms: 6w + -2w = 4w 4 + 4w = 13.2 + 2w + -2w Combine like terms: 2w + -2w = 0 4 + 4w = 13.2 + 0 4 + 4w = 13.2 Add '-4' to each side of the equation. 4 + -4 + 4w = 13.2 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = 13.2 + -4 4w = 13.2 + -4 Combine like terms: 13.2 + -4 = 9.2 4w = 9.2 Divide each side by '4'. w = 2.3 Simplifying w = 2.3
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