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Simplifying -12 = 2(w + 3) + -8w Reorder the terms: -12 = 2(3 + w) + -8w -12 = (3 * 2 + w * 2) + -8w -12 = (6 + 2w) + -8w Combine like terms: 2w + -8w = -6w -12 = 6 + -6w Solving -12 = 6 + -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 = 6 + -6w + 6w Combine like terms: -6w + 6w = 0 -12 + 6w = 6 + 0 -12 + 6w = 6 Add '12' to each side of the equation. -12 + 12 + 6w = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 6w = 6 + 12 6w = 6 + 12 Combine like terms: 6 + 12 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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