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Simplifying 118 = 2(6w + -25) + 2w Reorder the terms: 118 = 2(-25 + 6w) + 2w 118 = (-25 * 2 + 6w * 2) + 2w 118 = (-50 + 12w) + 2w Combine like terms: 12w + 2w = 14w 118 = -50 + 14w Solving 118 = -50 + 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. 118 + -14w = -50 + 14w + -14w Combine like terms: 14w + -14w = 0 118 + -14w = -50 + 0 118 + -14w = -50 Add '-118' to each side of the equation. 118 + -118 + -14w = -50 + -118 Combine like terms: 118 + -118 = 0 0 + -14w = -50 + -118 -14w = -50 + -118 Combine like terms: -50 + -118 = -168 -14w = -168 Divide each side by '-14'. w = 12 Simplifying w = 12
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