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Simplifying 7w + 74 = 14w + -10 Reorder the terms: 74 + 7w = 14w + -10 Reorder the terms: 74 + 7w = -10 + 14w Solving 74 + 7w = -10 + 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. 74 + 7w + -14w = -10 + 14w + -14w Combine like terms: 7w + -14w = -7w 74 + -7w = -10 + 14w + -14w Combine like terms: 14w + -14w = 0 74 + -7w = -10 + 0 74 + -7w = -10 Add '-74' to each side of the equation. 74 + -74 + -7w = -10 + -74 Combine like terms: 74 + -74 = 0 0 + -7w = -10 + -74 -7w = -10 + -74 Combine like terms: -10 + -74 = -84 -7w = -84 Divide each side by '-7'. w = 12 Simplifying w = 12
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