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Simplifying 2(w + 6) = 8w + 24 Reorder the terms: 2(6 + w) = 8w + 24 (6 * 2 + w * 2) = 8w + 24 (12 + 2w) = 8w + 24 Reorder the terms: 12 + 2w = 24 + 8w Solving 12 + 2w = 24 + 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 + 2w + -8w = 24 + 8w + -8w Combine like terms: 2w + -8w = -6w 12 + -6w = 24 + 8w + -8w Combine like terms: 8w + -8w = 0 12 + -6w = 24 + 0 12 + -6w = 24 Add '-12' to each side of the equation. 12 + -12 + -6w = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -6w = 24 + -12 -6w = 24 + -12 Combine like terms: 24 + -12 = 12 -6w = 12 Divide each side by '-6'. w = -2 Simplifying w = -2
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