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