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Simplifying 12 = 3(w + -6) + 3w Reorder the terms: 12 = 3(-6 + w) + 3w 12 = (-6 * 3 + w * 3) + 3w 12 = (-18 + 3w) + 3w Combine like terms: 3w + 3w = 6w 12 = -18 + 6w Solving 12 = -18 + 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 + -6w = -18 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + -6w = -18 + 0 12 + -6w = -18 Add '-12' to each side of the equation. 12 + -12 + -6w = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -6w = -18 + -12 -6w = -18 + -12 Combine like terms: -18 + -12 = -30 -6w = -30 Divide each side by '-6'. w = 5 Simplifying w = 5
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