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Simplifying 12 = -8w + 3(w + -6) Reorder the terms: 12 = -8w + 3(-6 + w) 12 = -8w + (-6 * 3 + w * 3) 12 = -8w + (-18 + 3w) Reorder the terms: 12 = -18 + -8w + 3w Combine like terms: -8w + 3w = -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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