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Simplifying 0.4w + -1.2 = -0.5w + 5.1 Reorder the terms: -1.2 + 0.4w = -0.5w + 5.1 Reorder the terms: -1.2 + 0.4w = 5.1 + -0.5w Solving -1.2 + 0.4w = 5.1 + -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. -1.2 + 0.4w + 0.5w = 5.1 + -0.5w + 0.5w Combine like terms: 0.4w + 0.5w = 0.9w -1.2 + 0.9w = 5.1 + -0.5w + 0.5w Combine like terms: -0.5w + 0.5w = 0.0 -1.2 + 0.9w = 5.1 + 0.0 -1.2 + 0.9w = 5.1 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.9w = 5.1 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.9w = 5.1 + 1.2 0.9w = 5.1 + 1.2 Combine like terms: 5.1 + 1.2 = 6.3 0.9w = 6.3 Divide each side by '0.9'. w = 7 Simplifying w = 7
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