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Simplifying 0.4w + -1w = 0.2(3w + 2) Combine like terms: 0.4w + -1w = -0.6w -0.6w = 0.2(3w + 2) Reorder the terms: -0.6w = 0.2(2 + 3w) -0.6w = (2 * 0.2 + 3w * 0.2) -0.6w = (0.4 + 0.6w) Solving -0.6w = 0.4 + 0.6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.6w' to each side of the equation. -0.6w + -0.6w = 0.4 + 0.6w + -0.6w Combine like terms: -0.6w + -0.6w = -1.2w -1.2w = 0.4 + 0.6w + -0.6w Combine like terms: 0.6w + -0.6w = 0.0 -1.2w = 0.4 + 0.0 -1.2w = 0.4 Divide each side by '-1.2'. w = -0.3333333333 Simplifying w = -0.3333333333
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