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Simplifying 12 = 2(w + -6) + -5w Reorder the terms: 12 = 2(-6 + w) + -5w 12 = (-6 * 2 + w * 2) + -5w 12 = (-12 + 2w) + -5w Combine like terms: 2w + -5w = -3w 12 = -12 + -3w Solving 12 = -12 + -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. 12 + 3w = -12 + -3w + 3w Combine like terms: -3w + 3w = 0 12 + 3w = -12 + 0 12 + 3w = -12 Add '-12' to each side of the equation. 12 + -12 + 3w = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 3w = -12 + -12 3w = -12 + -12 Combine like terms: -12 + -12 = -24 3w = -24 Divide each side by '3'. w = -8 Simplifying w = -8
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