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Simplifying 17w + -3w + -2w + w + -12w + 1 = 20 Reorder the terms: 1 + 17w + -3w + -2w + w + -12w = 20 Combine like terms: 17w + -3w = 14w 1 + 14w + -2w + w + -12w = 20 Combine like terms: 14w + -2w = 12w 1 + 12w + w + -12w = 20 Combine like terms: 12w + w = 13w 1 + 13w + -12w = 20 Combine like terms: 13w + -12w = 1w 1 + 1w = 20 Solving 1 + 1w = 20 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 + 1w = 20 + -1 Combine like terms: 1 + -1 = 0 0 + 1w = 20 + -1 1w = 20 + -1 Combine like terms: 20 + -1 = 19 1w = 19 Divide each side by '1'. w = 19 Simplifying w = 19
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