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Simplifying 0.25w + 15 = 0.67w + 10 Reorder the terms: 15 + 0.25w = 0.67w + 10 Reorder the terms: 15 + 0.25w = 10 + 0.67w Solving 15 + 0.25w = 10 + 0.67w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.67w' to each side of the equation. 15 + 0.25w + -0.67w = 10 + 0.67w + -0.67w Combine like terms: 0.25w + -0.67w = -0.42w 15 + -0.42w = 10 + 0.67w + -0.67w Combine like terms: 0.67w + -0.67w = 0.00 15 + -0.42w = 10 + 0.00 15 + -0.42w = 10 Add '-15' to each side of the equation. 15 + -15 + -0.42w = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -0.42w = 10 + -15 -0.42w = 10 + -15 Combine like terms: 10 + -15 = -5 -0.42w = -5 Divide each side by '-0.42'. w = 11.9047619 Simplifying w = 11.9047619
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