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Simplifying 6w + -1w + -2w + 1 = 19 Reorder the terms: 1 + 6w + -1w + -2w = 19 Combine like terms: 6w + -1w = 5w 1 + 5w + -2w = 19 Combine like terms: 5w + -2w = 3w 1 + 3w = 19 Solving 1 + 3w = 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 + 3w = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 3w = 19 + -1 3w = 19 + -1 Combine like terms: 19 + -1 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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