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Simplifying 12 = 3(w + -6) + -8w Reorder the terms: 12 = 3(-6 + w) + -8w 12 = (-6 * 3 + w * 3) + -8w 12 = (-18 + 3w) + -8w Combine like terms: 3w + -8w = -5w 12 = -18 + -5w Solving 12 = -18 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 12 + 5w = -18 + -5w + 5w Combine like terms: -5w + 5w = 0 12 + 5w = -18 + 0 12 + 5w = -18 Add '-12' to each side of the equation. 12 + -12 + 5w = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 5w = -18 + -12 5w = -18 + -12 Combine like terms: -18 + -12 = -30 5w = -30 Divide each side by '5'. w = -6 Simplifying w = -6
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