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Simplifying 10.9w + -9.32 = 16.2w + 17.19 + 1.05 Reorder the terms: -9.32 + 10.9w = 16.2w + 17.19 + 1.05 Reorder the terms: -9.32 + 10.9w = 17.19 + 1.05 + 16.2w Combine like terms: 17.19 + 1.05 = 18.24 -9.32 + 10.9w = 18.24 + 16.2w Solving -9.32 + 10.9w = 18.24 + 16.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16.2w' to each side of the equation. -9.32 + 10.9w + -16.2w = 18.24 + 16.2w + -16.2w Combine like terms: 10.9w + -16.2w = -5.3w -9.32 + -5.3w = 18.24 + 16.2w + -16.2w Combine like terms: 16.2w + -16.2w = 0.0 -9.32 + -5.3w = 18.24 + 0.0 -9.32 + -5.3w = 18.24 Add '9.32' to each side of the equation. -9.32 + 9.32 + -5.3w = 18.24 + 9.32 Combine like terms: -9.32 + 9.32 = 0.00 0.00 + -5.3w = 18.24 + 9.32 -5.3w = 18.24 + 9.32 Combine like terms: 18.24 + 9.32 = 27.56 -5.3w = 27.56 Divide each side by '-5.3'. w = -5.2 Simplifying w = -5.2
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