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Simplifying 2.6w + 12.2 + -3.1w = 14.2 Reorder the terms: 12.2 + 2.6w + -3.1w = 14.2 Combine like terms: 2.6w + -3.1w = -0.5w 12.2 + -0.5w = 14.2 Solving 12.2 + -0.5w = 14.2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12.2' to each side of the equation. 12.2 + -12.2 + -0.5w = 14.2 + -12.2 Combine like terms: 12.2 + -12.2 = 0.0 0.0 + -0.5w = 14.2 + -12.2 -0.5w = 14.2 + -12.2 Combine like terms: 14.2 + -12.2 = 2 -0.5w = 2 Divide each side by '-0.5'. w = -4 Simplifying w = -4
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