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Simplifying 9.2w + -11.22 = 15.7w + 17.38 Reorder the terms: -11.22 + 9.2w = 15.7w + 17.38 Reorder the terms: -11.22 + 9.2w = 17.38 + 15.7w Solving -11.22 + 9.2w = 17.38 + 15.7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15.7w' to each side of the equation. -11.22 + 9.2w + -15.7w = 17.38 + 15.7w + -15.7w Combine like terms: 9.2w + -15.7w = -6.5w -11.22 + -6.5w = 17.38 + 15.7w + -15.7w Combine like terms: 15.7w + -15.7w = 0.0 -11.22 + -6.5w = 17.38 + 0.0 -11.22 + -6.5w = 17.38 Add '11.22' to each side of the equation. -11.22 + 11.22 + -6.5w = 17.38 + 11.22 Combine like terms: -11.22 + 11.22 = 0.00 0.00 + -6.5w = 17.38 + 11.22 -6.5w = 17.38 + 11.22 Combine like terms: 17.38 + 11.22 = 28.6 -6.5w = 28.6 Divide each side by '-6.5'. w = -4.4 Simplifying w = -4.4
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