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Simplifying 17w + -83 = 3w + 1 Reorder the terms: -83 + 17w = 3w + 1 Reorder the terms: -83 + 17w = 1 + 3w Solving -83 + 17w = 1 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -83 + 17w + -3w = 1 + 3w + -3w Combine like terms: 17w + -3w = 14w -83 + 14w = 1 + 3w + -3w Combine like terms: 3w + -3w = 0 -83 + 14w = 1 + 0 -83 + 14w = 1 Add '83' to each side of the equation. -83 + 83 + 14w = 1 + 83 Combine like terms: -83 + 83 = 0 0 + 14w = 1 + 83 14w = 1 + 83 Combine like terms: 1 + 83 = 84 14w = 84 Divide each side by '14'. w = 6 Simplifying w = 6
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