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Simplifying 2.3 + -0.4w = 0.5w + -2.2 Reorder the terms: 2.3 + -0.4w = -2.2 + 0.5w Solving 2.3 + -0.4w = -2.2 + 0.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.5w' to each side of the equation. 2.3 + -0.4w + -0.5w = -2.2 + 0.5w + -0.5w Combine like terms: -0.4w + -0.5w = -0.9w 2.3 + -0.9w = -2.2 + 0.5w + -0.5w Combine like terms: 0.5w + -0.5w = 0.0 2.3 + -0.9w = -2.2 + 0.0 2.3 + -0.9w = -2.2 Add '-2.3' to each side of the equation. 2.3 + -2.3 + -0.9w = -2.2 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + -0.9w = -2.2 + -2.3 -0.9w = -2.2 + -2.3 Combine like terms: -2.2 + -2.3 = -4.5 -0.9w = -4.5 Divide each side by '-0.9'. w = 5 Simplifying w = 5
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