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Simplifying 77 + -5w = 7 + 9w Solving 77 + -5w = 7 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 77 + -5w + -9w = 7 + 9w + -9w Combine like terms: -5w + -9w = -14w 77 + -14w = 7 + 9w + -9w Combine like terms: 9w + -9w = 0 77 + -14w = 7 + 0 77 + -14w = 7 Add '-77' to each side of the equation. 77 + -77 + -14w = 7 + -77 Combine like terms: 77 + -77 = 0 0 + -14w = 7 + -77 -14w = 7 + -77 Combine like terms: 7 + -77 = -70 -14w = -70 Divide each side by '-14'. w = 5 Simplifying w = 5
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