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Simplifying 0.5w + 0.8 + -1.2w = 0.16 + -0.15w Reorder the terms: 0.8 + 0.5w + -1.2w = 0.16 + -0.15w Combine like terms: 0.5w + -1.2w = -0.7w 0.8 + -0.7w = 0.16 + -0.15w Solving 0.8 + -0.7w = 0.16 + -0.15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.15w' to each side of the equation. 0.8 + -0.7w + 0.15w = 0.16 + -0.15w + 0.15w Combine like terms: -0.7w + 0.15w = -0.55w 0.8 + -0.55w = 0.16 + -0.15w + 0.15w Combine like terms: -0.15w + 0.15w = 0.00 0.8 + -0.55w = 0.16 + 0.00 0.8 + -0.55w = 0.16 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.55w = 0.16 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.55w = 0.16 + -0.8 -0.55w = 0.16 + -0.8 Combine like terms: 0.16 + -0.8 = -0.64 -0.55w = -0.64 Divide each side by '-0.55'. w = 1.163636364 Simplifying w = 1.163636364
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