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Simplifying 2 = 6(w + -2) + -8w Reorder the terms: 2 = 6(-2 + w) + -8w 2 = (-2 * 6 + w * 6) + -8w 2 = (-12 + 6w) + -8w Combine like terms: 6w + -8w = -2w 2 = -12 + -2w Solving 2 = -12 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 2 + 2w = -12 + -2w + 2w Combine like terms: -2w + 2w = 0 2 + 2w = -12 + 0 2 + 2w = -12 Add '-2' to each side of the equation. 2 + -2 + 2w = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = -12 + -2 2w = -12 + -2 Combine like terms: -12 + -2 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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