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Simplifying 0.2w + 3.4 = 1.3w + 5.6 Reorder the terms: 3.4 + 0.2w = 1.3w + 5.6 Reorder the terms: 3.4 + 0.2w = 5.6 + 1.3w Solving 3.4 + 0.2w = 5.6 + 1.3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.3w' to each side of the equation. 3.4 + 0.2w + -1.3w = 5.6 + 1.3w + -1.3w Combine like terms: 0.2w + -1.3w = -1.1w 3.4 + -1.1w = 5.6 + 1.3w + -1.3w Combine like terms: 1.3w + -1.3w = 0.0 3.4 + -1.1w = 5.6 + 0.0 3.4 + -1.1w = 5.6 Add '-3.4' to each side of the equation. 3.4 + -3.4 + -1.1w = 5.6 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + -1.1w = 5.6 + -3.4 -1.1w = 5.6 + -3.4 Combine like terms: 5.6 + -3.4 = 2.2 -1.1w = 2.2 Divide each side by '-1.1'. w = -2 Simplifying w = -2
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