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Simplifying 1.2w + 3.5 = 2.1 + w Reorder the terms: 3.5 + 1.2w = 2.1 + w Solving 3.5 + 1.2w = 2.1 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 3.5 + 1.2w + -1w = 2.1 + w + -1w Combine like terms: 1.2w + -1w = 0.2w 3.5 + 0.2w = 2.1 + w + -1w Combine like terms: w + -1w = 0 3.5 + 0.2w = 2.1 + 0 3.5 + 0.2w = 2.1 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.2w = 2.1 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.2w = 2.1 + -3.5 0.2w = 2.1 + -3.5 Combine like terms: 2.1 + -3.5 = -1.4 0.2w = -1.4 Divide each side by '0.2'. w = -7 Simplifying w = -7
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