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Simplifying 12 = 2(w + 7) + -4w Reorder the terms: 12 = 2(7 + w) + -4w 12 = (7 * 2 + w * 2) + -4w 12 = (14 + 2w) + -4w Combine like terms: 2w + -4w = -2w 12 = 14 + -2w Solving 12 = 14 + -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. 12 + 2w = 14 + -2w + 2w Combine like terms: -2w + 2w = 0 12 + 2w = 14 + 0 12 + 2w = 14 Add '-12' to each side of the equation. 12 + -12 + 2w = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 14 + -12 2w = 14 + -12 Combine like terms: 14 + -12 = 2 2w = 2 Divide each side by '2'. w = 1 Simplifying w = 1
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