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Simplifying 40 + 14w = 2(-4w + -13) Reorder the terms: 40 + 14w = 2(-13 + -4w) 40 + 14w = (-13 * 2 + -4w * 2) 40 + 14w = (-26 + -8w) Solving 40 + 14w = -26 + -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. 40 + 14w + 8w = -26 + -8w + 8w Combine like terms: 14w + 8w = 22w 40 + 22w = -26 + -8w + 8w Combine like terms: -8w + 8w = 0 40 + 22w = -26 + 0 40 + 22w = -26 Add '-40' to each side of the equation. 40 + -40 + 22w = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 22w = -26 + -40 22w = -26 + -40 Combine like terms: -26 + -40 = -66 22w = -66 Divide each side by '22'. w = -3 Simplifying w = -3
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