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Simplifying 3w + -2(w + -6) = 6(w + -6) Reorder the terms: 3w + -2(-6 + w) = 6(w + -6) 3w + (-6 * -2 + w * -2) = 6(w + -6) 3w + (12 + -2w) = 6(w + -6) Reorder the terms: 12 + 3w + -2w = 6(w + -6) Combine like terms: 3w + -2w = 1w 12 + 1w = 6(w + -6) Reorder the terms: 12 + 1w = 6(-6 + w) 12 + 1w = (-6 * 6 + w * 6) 12 + 1w = (-36 + 6w) Solving 12 + 1w = -36 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 12 + 1w + -6w = -36 + 6w + -6w Combine like terms: 1w + -6w = -5w 12 + -5w = -36 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + -5w = -36 + 0 12 + -5w = -36 Add '-12' to each side of the equation. 12 + -12 + -5w = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -5w = -36 + -12 -5w = -36 + -12 Combine like terms: -36 + -12 = -48 -5w = -48 Divide each side by '-5'. w = 9.6 Simplifying w = 9.6
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