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Simplifying -3.1w + 1.1 = 1.9w + -3.9 Reorder the terms: 1.1 + -3.1w = 1.9w + -3.9 Reorder the terms: 1.1 + -3.1w = -3.9 + 1.9w Solving 1.1 + -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. 1.1 + -3.1w + -1.9w = -3.9 + 1.9w + -1.9w Combine like terms: -3.1w + -1.9w = -5w 1.1 + -5w = -3.9 + 1.9w + -1.9w Combine like terms: 1.9w + -1.9w = 0.0 1.1 + -5w = -3.9 + 0.0 1.1 + -5w = -3.9 Add '-1.1' to each side of the equation. 1.1 + -1.1 + -5w = -3.9 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + -5w = -3.9 + -1.1 -5w = -3.9 + -1.1 Combine like terms: -3.9 + -1.1 = -5 -5w = -5 Divide each side by '-5'. w = 1 Simplifying w = 1
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