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Simplifying 0.25w + 2.5 = 0.5w + 1.3 Reorder the terms: 2.5 + 0.25w = 0.5w + 1.3 Reorder the terms: 2.5 + 0.25w = 1.3 + 0.5w Solving 2.5 + 0.25w = 1.3 + 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 + 0.25w + -0.5w = 1.3 + 0.5w + -0.5w Combine like terms: 0.25w + -0.5w = -0.25w 2.5 + -0.25w = 1.3 + 0.5w + -0.5w Combine like terms: 0.5w + -0.5w = 0.0 2.5 + -0.25w = 1.3 + 0.0 2.5 + -0.25w = 1.3 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.25w = 1.3 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.25w = 1.3 + -2.5 -0.25w = 1.3 + -2.5 Combine like terms: 1.3 + -2.5 = -1.2 -0.25w = -1.2 Divide each side by '-0.25'. w = 4.8 Simplifying w = 4.8
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