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Simplifying 1.8w + 2.8 = 2.5w + 2.1 Reorder the terms: 2.8 + 1.8w = 2.5w + 2.1 Reorder the terms: 2.8 + 1.8w = 2.1 + 2.5w Solving 2.8 + 1.8w = 2.1 + 2.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.5w' to each side of the equation. 2.8 + 1.8w + -2.5w = 2.1 + 2.5w + -2.5w Combine like terms: 1.8w + -2.5w = -0.7w 2.8 + -0.7w = 2.1 + 2.5w + -2.5w Combine like terms: 2.5w + -2.5w = 0.0 2.8 + -0.7w = 2.1 + 0.0 2.8 + -0.7w = 2.1 Add '-2.8' to each side of the equation. 2.8 + -2.8 + -0.7w = 2.1 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -0.7w = 2.1 + -2.8 -0.7w = 2.1 + -2.8 Combine like terms: 2.1 + -2.8 = -0.7 -0.7w = -0.7 Divide each side by '-0.7'. w = 1 Simplifying w = 1
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