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Simplifying w + 0.5 = w + 3w + -0.75 Reorder the terms: 0.5 + w = w + 3w + -0.75 Reorder the terms: 0.5 + w = -0.75 + w + 3w Combine like terms: w + 3w = 4w 0.5 + w = -0.75 + 4w Solving 0.5 + w = -0.75 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 0.5 + w + -4w = -0.75 + 4w + -4w Combine like terms: w + -4w = -3w 0.5 + -3w = -0.75 + 4w + -4w Combine like terms: 4w + -4w = 0 0.5 + -3w = -0.75 + 0 0.5 + -3w = -0.75 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -3w = -0.75 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -3w = -0.75 + -0.5 -3w = -0.75 + -0.5 Combine like terms: -0.75 + -0.5 = -1.25 -3w = -1.25 Divide each side by '-3'. w = 0.4166666667 Simplifying w = 0.4166666667
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