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Simplifying 3w + w + -1w + -3w + 3w + 1 = 13 Reorder the terms: 1 + 3w + w + -1w + -3w + 3w = 13 Combine like terms: 3w + w = 4w 1 + 4w + -1w + -3w + 3w = 13 Combine like terms: 4w + -1w = 3w 1 + 3w + -3w + 3w = 13 Combine like terms: 3w + -3w = 0 1 + 0 + 3w = 13 1 + 3w = 13 Solving 1 + 3w = 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 + 3w = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 3w = 13 + -1 3w = 13 + -1 Combine like terms: 13 + -1 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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