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Simplifying 0.4w + 60 = 1w + 53 Reorder the terms: 60 + 0.4w = 1w + 53 Reorder the terms: 60 + 0.4w = 53 + 1w Solving 60 + 0.4w = 53 + 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. 60 + 0.4w + -1w = 53 + 1w + -1w Combine like terms: 0.4w + -1w = -0.6w 60 + -0.6w = 53 + 1w + -1w Combine like terms: 1w + -1w = 0 60 + -0.6w = 53 + 0 60 + -0.6w = 53 Add '-60' to each side of the equation. 60 + -60 + -0.6w = 53 + -60 Combine like terms: 60 + -60 = 0 0 + -0.6w = 53 + -60 -0.6w = 53 + -60 Combine like terms: 53 + -60 = -7 -0.6w = -7 Divide each side by '-0.6'. w = 11.66666667 Simplifying w = 11.66666667
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