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Simplifying 0.6(w + -12) = 0.2w Reorder the terms: 0.6(-12 + w) = 0.2w (-12 * 0.6 + w * 0.6) = 0.2w (-7.2 + 0.6w) = 0.2w Solving -7.2 + 0.6w = 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. -7.2 + 0.6w + -0.2w = 0.2w + -0.2w Combine like terms: 0.6w + -0.2w = 0.4w -7.2 + 0.4w = 0.2w + -0.2w Combine like terms: 0.2w + -0.2w = 0.0 -7.2 + 0.4w = 0.0 Add '7.2' to each side of the equation. -7.2 + 7.2 + 0.4w = 0.0 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + 0.4w = 0.0 + 7.2 0.4w = 0.0 + 7.2 Combine like terms: 0.0 + 7.2 = 7.2 0.4w = 7.2 Divide each side by '0.4'. w = 18 Simplifying w = 18
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