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Simplifying 0.5w + 90 = 4w + 90 Reorder the terms: 90 + 0.5w = 4w + 90 Reorder the terms: 90 + 0.5w = 90 + 4w Add '-90' to each side of the equation. 90 + -90 + 0.5w = 90 + -90 + 4w Combine like terms: 90 + -90 = 0 0 + 0.5w = 90 + -90 + 4w 0.5w = 90 + -90 + 4w Combine like terms: 90 + -90 = 0 0.5w = 0 + 4w 0.5w = 4w Solving 0.5w = 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. 0.5w + -4w = 4w + -4w Combine like terms: 0.5w + -4w = -3.5w -3.5w = 4w + -4w Combine like terms: 4w + -4w = 0 -3.5w = 0 Divide each side by '-3.5'. w = 0 Simplifying w = 0
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