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Simplifying 9(-1w + -19) + 3 = 5w Reorder the terms: 9(-19 + -1w) + 3 = 5w (-19 * 9 + -1w * 9) + 3 = 5w (-171 + -9w) + 3 = 5w Reorder the terms: -171 + 3 + -9w = 5w Combine like terms: -171 + 3 = -168 -168 + -9w = 5w Solving -168 + -9w = 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -168 + -9w + -5w = 5w + -5w Combine like terms: -9w + -5w = -14w -168 + -14w = 5w + -5w Combine like terms: 5w + -5w = 0 -168 + -14w = 0 Add '168' to each side of the equation. -168 + 168 + -14w = 0 + 168 Combine like terms: -168 + 168 = 0 0 + -14w = 0 + 168 -14w = 0 + 168 Combine like terms: 0 + 168 = 168 -14w = 168 Divide each side by '-14'. w = -12 Simplifying w = -12
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