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Simplifying 0.6(w + 12) = 3w + -6 Reorder the terms: 0.6(12 + w) = 3w + -6 (12 * 0.6 + w * 0.6) = 3w + -6 (7.2 + 0.6w) = 3w + -6 Reorder the terms: 7.2 + 0.6w = -6 + 3w Solving 7.2 + 0.6w = -6 + 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. 7.2 + 0.6w + -3w = -6 + 3w + -3w Combine like terms: 0.6w + -3w = -2.4w 7.2 + -2.4w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 7.2 + -2.4w = -6 + 0 7.2 + -2.4w = -6 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -2.4w = -6 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -2.4w = -6 + -7.2 -2.4w = -6 + -7.2 Combine like terms: -6 + -7.2 = -13.2 -2.4w = -13.2 Divide each side by '-2.4'. w = 5.5 Simplifying w = 5.5
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