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Simplifying 50 = 2(6w + 4) + 2w Reorder the terms: 50 = 2(4 + 6w) + 2w 50 = (4 * 2 + 6w * 2) + 2w 50 = (8 + 12w) + 2w Combine like terms: 12w + 2w = 14w 50 = 8 + 14w Solving 50 = 8 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 50 + -14w = 8 + 14w + -14w Combine like terms: 14w + -14w = 0 50 + -14w = 8 + 0 50 + -14w = 8 Add '-50' to each side of the equation. 50 + -50 + -14w = 8 + -50 Combine like terms: 50 + -50 = 0 0 + -14w = 8 + -50 -14w = 8 + -50 Combine like terms: 8 + -50 = -42 -14w = -42 Divide each side by '-14'. w = 3 Simplifying w = 3
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