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