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Simplifying 0.4w + 10 = 1.15w Reorder the terms: 10 + 0.4w = 1.15w Solving 10 + 0.4w = 1.15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.15w' to each side of the equation. 10 + 0.4w + -1.15w = 1.15w + -1.15w Combine like terms: 0.4w + -1.15w = -0.75w 10 + -0.75w = 1.15w + -1.15w Combine like terms: 1.15w + -1.15w = 0.00 10 + -0.75w = 0.00 Add '-10' to each side of the equation. 10 + -10 + -0.75w = 0.00 + -10 Combine like terms: 10 + -10 = 0 0 + -0.75w = 0.00 + -10 -0.75w = 0.00 + -10 Combine like terms: 0.00 + -10 = -10 -0.75w = -10 Divide each side by '-0.75'. w = 13.33333333 Simplifying w = 13.33333333
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