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Simplifying 3.1w + 5 = 5.2w + 2.9 Reorder the terms: 5 + 3.1w = 5.2w + 2.9 Reorder the terms: 5 + 3.1w = 2.9 + 5.2w Solving 5 + 3.1w = 2.9 + 5.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5.2w' to each side of the equation. 5 + 3.1w + -5.2w = 2.9 + 5.2w + -5.2w Combine like terms: 3.1w + -5.2w = -2.1w 5 + -2.1w = 2.9 + 5.2w + -5.2w Combine like terms: 5.2w + -5.2w = 0.0 5 + -2.1w = 2.9 + 0.0 5 + -2.1w = 2.9 Add '-5' to each side of the equation. 5 + -5 + -2.1w = 2.9 + -5 Combine like terms: 5 + -5 = 0 0 + -2.1w = 2.9 + -5 -2.1w = 2.9 + -5 Combine like terms: 2.9 + -5 = -2.1 -2.1w = -2.1 Divide each side by '-2.1'. w = 1 Simplifying w = 1
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