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Simplifying 5.7 = -3w + 3.57 + 4w Reorder the terms: 5.7 = 3.57 + -3w + 4w Combine like terms: -3w + 4w = 1w 5.7 = 3.57 + 1w Solving 5.7 = 3.57 + 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. 5.7 + -1w = 3.57 + 1w + -1w Combine like terms: 1w + -1w = 0 5.7 + -1w = 3.57 + 0 5.7 + -1w = 3.57 Add '-5.7' to each side of the equation. 5.7 + -5.7 + -1w = 3.57 + -5.7 Combine like terms: 5.7 + -5.7 = 0.0 0.0 + -1w = 3.57 + -5.7 -1w = 3.57 + -5.7 Combine like terms: 3.57 + -5.7 = -2.13 -1w = -2.13 Divide each side by '-1'. w = 2.13 Simplifying w = 2.13
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