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Simplifying 0.2w + 1.5 = 0.8w + 2.5 Reorder the terms: 1.5 + 0.2w = 0.8w + 2.5 Reorder the terms: 1.5 + 0.2w = 2.5 + 0.8w Solving 1.5 + 0.2w = 2.5 + 0.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.8w' to each side of the equation. 1.5 + 0.2w + -0.8w = 2.5 + 0.8w + -0.8w Combine like terms: 0.2w + -0.8w = -0.6w 1.5 + -0.6w = 2.5 + 0.8w + -0.8w Combine like terms: 0.8w + -0.8w = 0.0 1.5 + -0.6w = 2.5 + 0.0 1.5 + -0.6w = 2.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.6w = 2.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.6w = 2.5 + -1.5 -0.6w = 2.5 + -1.5 Combine like terms: 2.5 + -1.5 = 1 -0.6w = 1 Divide each side by '-0.6'. w = -1.666666667 Simplifying w = -1.666666667
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