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Simplifying 15.17 + 1.5w + -9.1w = -17.47 + -9.3w Combine like terms: 1.5w + -9.1w = -7.6w 15.17 + -7.6w = -17.47 + -9.3w Solving 15.17 + -7.6w = -17.47 + -9.3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9.3w' to each side of the equation. 15.17 + -7.6w + 9.3w = -17.47 + -9.3w + 9.3w Combine like terms: -7.6w + 9.3w = 1.7w 15.17 + 1.7w = -17.47 + -9.3w + 9.3w Combine like terms: -9.3w + 9.3w = 0.0 15.17 + 1.7w = -17.47 + 0.0 15.17 + 1.7w = -17.47 Add '-15.17' to each side of the equation. 15.17 + -15.17 + 1.7w = -17.47 + -15.17 Combine like terms: 15.17 + -15.17 = 0.00 0.00 + 1.7w = -17.47 + -15.17 1.7w = -17.47 + -15.17 Combine like terms: -17.47 + -15.17 = -32.64 1.7w = -32.64 Divide each side by '1.7'. w = -19.2 Simplifying w = -19.2
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