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Simplifying 2w + 2.5 = 0.5w Reorder the terms: 2.5 + 2w = 0.5w Solving 2.5 + 2w = 0.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.5w' to each side of the equation. 2.5 + 2w + -0.5w = 0.5w + -0.5w Combine like terms: 2w + -0.5w = 1.5w 2.5 + 1.5w = 0.5w + -0.5w Combine like terms: 0.5w + -0.5w = 0.0 2.5 + 1.5w = 0.0 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 1.5w = 0.0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1.5w = 0.0 + -2.5 1.5w = 0.0 + -2.5 Combine like terms: 0.0 + -2.5 = -2.5 1.5w = -2.5 Divide each side by '1.5'. w = -1.666666667 Simplifying w = -1.666666667
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