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Simplifying 0.2w + 0.2 = -1.2w + 0.3 Reorder the terms: 0.2 + 0.2w = -1.2w + 0.3 Reorder the terms: 0.2 + 0.2w = 0.3 + -1.2w Solving 0.2 + 0.2w = 0.3 + -1.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1.2w' to each side of the equation. 0.2 + 0.2w + 1.2w = 0.3 + -1.2w + 1.2w Combine like terms: 0.2w + 1.2w = 1.4w 0.2 + 1.4w = 0.3 + -1.2w + 1.2w Combine like terms: -1.2w + 1.2w = 0.0 0.2 + 1.4w = 0.3 + 0.0 0.2 + 1.4w = 0.3 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 1.4w = 0.3 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 1.4w = 0.3 + -0.2 1.4w = 0.3 + -0.2 Combine like terms: 0.3 + -0.2 = 0.1 1.4w = 0.1 Divide each side by '1.4'. w = 0.07142857143 Simplifying w = 0.07142857143
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