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Simplifying 10w + 3w + 2w + -13w + 1 = 13 Reorder the terms: 1 + 10w + 3w + 2w + -13w = 13 Combine like terms: 10w + 3w = 13w 1 + 13w + 2w + -13w = 13 Combine like terms: 13w + 2w = 15w 1 + 15w + -13w = 13 Combine like terms: 15w + -13w = 2w 1 + 2w = 13 Solving 1 + 2w = 13 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 = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 2w = 13 + -1 2w = 13 + -1 Combine like terms: 13 + -1 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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