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Simplifying 1 + 2w + -0.2 + -4w = -1 + -3w + 2 Reorder the terms: 1 + -0.2 + 2w + -4w = -1 + -3w + 2 Combine like terms: 1 + -0.2 = 0.8 0.8 + 2w + -4w = -1 + -3w + 2 Combine like terms: 2w + -4w = -2w 0.8 + -2w = -1 + -3w + 2 Reorder the terms: 0.8 + -2w = -1 + 2 + -3w Combine like terms: -1 + 2 = 1 0.8 + -2w = 1 + -3w Solving 0.8 + -2w = 1 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 0.8 + -2w + 3w = 1 + -3w + 3w Combine like terms: -2w + 3w = 1w 0.8 + 1w = 1 + -3w + 3w Combine like terms: -3w + 3w = 0 0.8 + 1w = 1 + 0 0.8 + 1w = 1 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 1w = 1 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 1w = 1 + -0.8 1w = 1 + -0.8 Combine like terms: 1 + -0.8 = 0.2 1w = 0.2 Divide each side by '1'. w = 0.2 Simplifying w = 0.2
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