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Simplifying 2(6w) + 2(5 * 6) + 2(5w) = 126 Remove parenthesis around (6w) 2 * 6w + 2(5 * 6) + 2(5w) = 126 Multiply 2 * 6 12w + 2(5 * 6) + 2(5w) = 126 Multiply 5 * 6 12w + 2(30) + 2(5w) = 126 Multiply 2 * 30 12w + 60 + 2(5w) = 126 Remove parenthesis around (5w) 12w + 60 + 2 * 5w = 126 Multiply 2 * 5 12w + 60 + 10w = 126 Reorder the terms: 60 + 12w + 10w = 126 Combine like terms: 12w + 10w = 22w 60 + 22w = 126 Solving 60 + 22w = 126 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 22w = 126 + -60 Combine like terms: 60 + -60 = 0 0 + 22w = 126 + -60 22w = 126 + -60 Combine like terms: 126 + -60 = 66 22w = 66 Divide each side by '22'. w = 3 Simplifying w = 3
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