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Simplifying -1.8 + 0.5w = 0.6(w + 2) Reorder the terms: -1.8 + 0.5w = 0.6(2 + w) -1.8 + 0.5w = (2 * 0.6 + w * 0.6) -1.8 + 0.5w = (1.2 + 0.6w) Solving -1.8 + 0.5w = 1.2 + 0.6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.6w' to each side of the equation. -1.8 + 0.5w + -0.6w = 1.2 + 0.6w + -0.6w Combine like terms: 0.5w + -0.6w = -0.1w -1.8 + -0.1w = 1.2 + 0.6w + -0.6w Combine like terms: 0.6w + -0.6w = 0.0 -1.8 + -0.1w = 1.2 + 0.0 -1.8 + -0.1w = 1.2 Add '1.8' to each side of the equation. -1.8 + 1.8 + -0.1w = 1.2 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -0.1w = 1.2 + 1.8 -0.1w = 1.2 + 1.8 Combine like terms: 1.2 + 1.8 = 3 -0.1w = 3 Divide each side by '-0.1'. w = -30 Simplifying w = -30
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