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Simplifying 5w + 7 = 14w + -38 Reorder the terms: 7 + 5w = 14w + -38 Reorder the terms: 7 + 5w = -38 + 14w Solving 7 + 5w = -38 + 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. 7 + 5w + -14w = -38 + 14w + -14w Combine like terms: 5w + -14w = -9w 7 + -9w = -38 + 14w + -14w Combine like terms: 14w + -14w = 0 7 + -9w = -38 + 0 7 + -9w = -38 Add '-7' to each side of the equation. 7 + -7 + -9w = -38 + -7 Combine like terms: 7 + -7 = 0 0 + -9w = -38 + -7 -9w = -38 + -7 Combine like terms: -38 + -7 = -45 -9w = -45 Divide each side by '-9'. w = 5 Simplifying w = 5
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