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Simplifying -12 = 3(w + 2) + -6w Reorder the terms: -12 = 3(2 + w) + -6w -12 = (2 * 3 + w * 3) + -6w -12 = (6 + 3w) + -6w Combine like terms: 3w + -6w = -3w -12 = 6 + -3w Solving -12 = 6 + -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 = 6 + -3w + 3w Combine like terms: -3w + 3w = 0 -12 + 3w = 6 + 0 -12 + 3w = 6 Add '12' to each side of the equation. -12 + 12 + 3w = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 3w = 6 + 12 3w = 6 + 12 Combine like terms: 6 + 12 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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