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Simplifying -3.5w + 0.1 = 0.2w + -3.6 Reorder the terms: 0.1 + -3.5w = 0.2w + -3.6 Reorder the terms: 0.1 + -3.5w = -3.6 + 0.2w Solving 0.1 + -3.5w = -3.6 + 0.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.2w' to each side of the equation. 0.1 + -3.5w + -0.2w = -3.6 + 0.2w + -0.2w Combine like terms: -3.5w + -0.2w = -3.7w 0.1 + -3.7w = -3.6 + 0.2w + -0.2w Combine like terms: 0.2w + -0.2w = 0.0 0.1 + -3.7w = -3.6 + 0.0 0.1 + -3.7w = -3.6 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -3.7w = -3.6 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -3.7w = -3.6 + -0.1 -3.7w = -3.6 + -0.1 Combine like terms: -3.6 + -0.1 = -3.7 -3.7w = -3.7 Divide each side by '-3.7'. w = 1 Simplifying w = 1
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