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Simplifying 25 = 24 + -7(-5 + -2w) 25 = 24 + (-5 * -7 + -2w * -7) 25 = 24 + (35 + 14w) Combine like terms: 24 + 35 = 59 25 = 59 + 14w Solving 25 = 59 + 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. 25 + -14w = 59 + 14w + -14w Combine like terms: 14w + -14w = 0 25 + -14w = 59 + 0 25 + -14w = 59 Add '-25' to each side of the equation. 25 + -25 + -14w = 59 + -25 Combine like terms: 25 + -25 = 0 0 + -14w = 59 + -25 -14w = 59 + -25 Combine like terms: 59 + -25 = 34 -14w = 34 Divide each side by '-14'. w = -2.428571429 Simplifying w = -2.428571429
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