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Simplifying 2w + 0.6(6w + -12) = 4w Reorder the terms: 2w + 0.6(-12 + 6w) = 4w 2w + (-12 * 0.6 + 6w * 0.6) = 4w 2w + (-7.2 + 3.6w) = 4w Reorder the terms: -7.2 + 2w + 3.6w = 4w Combine like terms: 2w + 3.6w = 5.6w -7.2 + 5.6w = 4w Solving -7.2 + 5.6w = 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -7.2 + 5.6w + -4w = 4w + -4w Combine like terms: 5.6w + -4w = 1.6w -7.2 + 1.6w = 4w + -4w Combine like terms: 4w + -4w = 0 -7.2 + 1.6w = 0 Add '7.2' to each side of the equation. -7.2 + 7.2 + 1.6w = 0 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + 1.6w = 0 + 7.2 1.6w = 0 + 7.2 Combine like terms: 0 + 7.2 = 7.2 1.6w = 7.2 Divide each side by '1.6'. w = 4.5 Simplifying w = 4.5
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