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Simplifying -18.2w + 10.21 = 12.15 + -8.5w Reorder the terms: 10.21 + -18.2w = 12.15 + -8.5w Solving 10.21 + -18.2w = 12.15 + -8.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8.5w' to each side of the equation. 10.21 + -18.2w + 8.5w = 12.15 + -8.5w + 8.5w Combine like terms: -18.2w + 8.5w = -9.7w 10.21 + -9.7w = 12.15 + -8.5w + 8.5w Combine like terms: -8.5w + 8.5w = 0.0 10.21 + -9.7w = 12.15 + 0.0 10.21 + -9.7w = 12.15 Add '-10.21' to each side of the equation. 10.21 + -10.21 + -9.7w = 12.15 + -10.21 Combine like terms: 10.21 + -10.21 = 0.00 0.00 + -9.7w = 12.15 + -10.21 -9.7w = 12.15 + -10.21 Combine like terms: 12.15 + -10.21 = 1.94 -9.7w = 1.94 Divide each side by '-9.7'. w = -0.2 Simplifying w = -0.2
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