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Simplifying 2w(3 + 4) = 36 + 2w Combine like terms: 3 + 4 = 7 2w(7) = 36 + 2w Reorder the terms for easier multiplication: 2 * 7w = 36 + 2w Multiply 2 * 7 14w = 36 + 2w Solving 14w = 36 + 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. 14w + -2w = 36 + 2w + -2w Combine like terms: 14w + -2w = 12w 12w = 36 + 2w + -2w Combine like terms: 2w + -2w = 0 12w = 36 + 0 12w = 36 Divide each side by '12'. w = 3 Simplifying w = 3
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