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Simplifying 200 + -1.5w = 180 + 0.5w Solving 200 + -1.5w = 180 + 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. 200 + -1.5w + -0.5w = 180 + 0.5w + -0.5w Combine like terms: -1.5w + -0.5w = -2w 200 + -2w = 180 + 0.5w + -0.5w Combine like terms: 0.5w + -0.5w = 0.0 200 + -2w = 180 + 0.0 200 + -2w = 180 Add '-200' to each side of the equation. 200 + -200 + -2w = 180 + -200 Combine like terms: 200 + -200 = 0 0 + -2w = 180 + -200 -2w = 180 + -200 Combine like terms: 180 + -200 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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