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Simplifying 14w + -13w + -1w + 2w + 1 = 19 Reorder the terms: 1 + 14w + -13w + -1w + 2w = 19 Combine like terms: 14w + -13w = 1w 1 + 1w + -1w + 2w = 19 Combine like terms: 1w + -1w = 0 1 + 0 + 2w = 19 1 + 2w = 19 Solving 1 + 2w = 19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2w = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 2w = 19 + -1 2w = 19 + -1 Combine like terms: 19 + -1 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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