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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 = 6w 40 + 6w = -26 + 8w + -8w Combine like terms: 8w + -8w = 0 40 + 6w = -26 + 0 40 + 6w = -26 Add '-40' to each side of the equation. 40 + -40 + 6w = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 6w = -26 + -40 6w = -26 + -40 Combine like terms: -26 + -40 = -66 6w = -66 Divide each side by '6'. w = -11 Simplifying w = -11
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