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Simplifying -1.2 + 0.6w = 0.2(w + 4) Reorder the terms: -1.2 + 0.6w = 0.2(4 + w) -1.2 + 0.6w = (4 * 0.2 + w * 0.2) -1.2 + 0.6w = (0.8 + 0.2w) Solving -1.2 + 0.6w = 0.8 + 0.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.2w' to each side of the equation. -1.2 + 0.6w + -0.2w = 0.8 + 0.2w + -0.2w Combine like terms: 0.6w + -0.2w = 0.4w -1.2 + 0.4w = 0.8 + 0.2w + -0.2w Combine like terms: 0.2w + -0.2w = 0.0 -1.2 + 0.4w = 0.8 + 0.0 -1.2 + 0.4w = 0.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.4w = 0.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.4w = 0.8 + 1.2 0.4w = 0.8 + 1.2 Combine like terms: 0.8 + 1.2 = 2 0.4w = 2 Divide each side by '0.4'. w = 5 Simplifying w = 5
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