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Simplifying 7w + -1w + w + 2w + -3w + 1 = 13 Reorder the terms: 1 + 7w + -1w + w + 2w + -3w = 13 Combine like terms: 7w + -1w = 6w 1 + 6w + w + 2w + -3w = 13 Combine like terms: 6w + w = 7w 1 + 7w + 2w + -3w = 13 Combine like terms: 7w + 2w = 9w 1 + 9w + -3w = 13 Combine like terms: 9w + -3w = 6w 1 + 6w = 13 Solving 1 + 6w = 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 + 6w = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 6w = 13 + -1 6w = 13 + -1 Combine like terms: 13 + -1 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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