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Simplifying 10.4 + 0.3 = 2w + 1.5 + -1w Combine like terms: 10.4 + 0.3 = 10.7 10.7 = 2w + 1.5 + -1w Reorder the terms: 10.7 = 1.5 + 2w + -1w Combine like terms: 2w + -1w = 1w 10.7 = 1.5 + 1w Solving 10.7 = 1.5 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 10.7 + -1w = 1.5 + 1w + -1w Combine like terms: 1w + -1w = 0 10.7 + -1w = 1.5 + 0 10.7 + -1w = 1.5 Add '-10.7' to each side of the equation. 10.7 + -10.7 + -1w = 1.5 + -10.7 Combine like terms: 10.7 + -10.7 = 0.0 0.0 + -1w = 1.5 + -10.7 -1w = 1.5 + -10.7 Combine like terms: 1.5 + -10.7 = -9.2 -1w = -9.2 Divide each side by '-1'. w = 9.2 Simplifying w = 9.2
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