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Simplifying -6w + 19 = 8w + 5 Reorder the terms: 19 + -6w = 8w + 5 Reorder the terms: 19 + -6w = 5 + 8w Solving 19 + -6w = 5 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 19 + -6w + -8w = 5 + 8w + -8w Combine like terms: -6w + -8w = -14w 19 + -14w = 5 + 8w + -8w Combine like terms: 8w + -8w = 0 19 + -14w = 5 + 0 19 + -14w = 5 Add '-19' to each side of the equation. 19 + -19 + -14w = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -14w = 5 + -19 -14w = 5 + -19 Combine like terms: 5 + -19 = -14 -14w = -14 Divide each side by '-14'. w = 1 Simplifying w = 1
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