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Simplifying 3.1w + 2.55 + 16.68 = -0.5w + -17.13 Reorder the terms: 2.55 + 16.68 + 3.1w = -0.5w + -17.13 Combine like terms: 2.55 + 16.68 = 19.23 19.23 + 3.1w = -0.5w + -17.13 Reorder the terms: 19.23 + 3.1w = -17.13 + -0.5w Solving 19.23 + 3.1w = -17.13 + -0.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.5w' to each side of the equation. 19.23 + 3.1w + 0.5w = -17.13 + -0.5w + 0.5w Combine like terms: 3.1w + 0.5w = 3.6w 19.23 + 3.6w = -17.13 + -0.5w + 0.5w Combine like terms: -0.5w + 0.5w = 0.0 19.23 + 3.6w = -17.13 + 0.0 19.23 + 3.6w = -17.13 Add '-19.23' to each side of the equation. 19.23 + -19.23 + 3.6w = -17.13 + -19.23 Combine like terms: 19.23 + -19.23 = 0.00 0.00 + 3.6w = -17.13 + -19.23 3.6w = -17.13 + -19.23 Combine like terms: -17.13 + -19.23 = -36.36 3.6w = -36.36 Divide each side by '3.6'. w = -10.1 Simplifying w = -10.1
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