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Simplifying -0.2w + 0.15 + 9w = -17.7 + 7.1w Reorder the terms: 0.15 + -0.2w + 9w = -17.7 + 7.1w Combine like terms: -0.2w + 9w = 8.8w 0.15 + 8.8w = -17.7 + 7.1w Solving 0.15 + 8.8w = -17.7 + 7.1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7.1w' to each side of the equation. 0.15 + 8.8w + -7.1w = -17.7 + 7.1w + -7.1w Combine like terms: 8.8w + -7.1w = 1.7w 0.15 + 1.7w = -17.7 + 7.1w + -7.1w Combine like terms: 7.1w + -7.1w = 0.0 0.15 + 1.7w = -17.7 + 0.0 0.15 + 1.7w = -17.7 Add '-0.15' to each side of the equation. 0.15 + -0.15 + 1.7w = -17.7 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + 1.7w = -17.7 + -0.15 1.7w = -17.7 + -0.15 Combine like terms: -17.7 + -0.15 = -17.85 1.7w = -17.85 Divide each side by '1.7'. w = -10.5 Simplifying w = -10.5
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