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Simplifying -3.1w + 11 = 1.9w + -3.9 Reorder the terms: 11 + -3.1w = 1.9w + -3.9 Reorder the terms: 11 + -3.1w = -3.9 + 1.9w Solving 11 + -3.1w = -3.9 + 1.9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.9w' to each side of the equation. 11 + -3.1w + -1.9w = -3.9 + 1.9w + -1.9w Combine like terms: -3.1w + -1.9w = -5w 11 + -5w = -3.9 + 1.9w + -1.9w Combine like terms: 1.9w + -1.9w = 0.0 11 + -5w = -3.9 + 0.0 11 + -5w = -3.9 Add '-11' to each side of the equation. 11 + -11 + -5w = -3.9 + -11 Combine like terms: 11 + -11 = 0 0 + -5w = -3.9 + -11 -5w = -3.9 + -11 Combine like terms: -3.9 + -11 = -14.9 -5w = -14.9 Divide each side by '-5'. w = 2.98 Simplifying w = 2.98
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