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Simplifying w + -1w + 2w + 2w + -3w + -1 = 14 Reorder the terms: -1 + w + -1w + 2w + 2w + -3w = 14 Combine like terms: w + -1w = 0 -1 + 0 + 2w + 2w + -3w = 14 -1 + 2w + 2w + -3w = 14 Combine like terms: 2w + 2w = 4w -1 + 4w + -3w = 14 Combine like terms: 4w + -3w = 1w -1 + 1w = 14 Solving -1 + 1w = 14 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 = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 1w = 14 + 1 1w = 14 + 1 Combine like terms: 14 + 1 = 15 1w = 15 Divide each side by '1'. w = 15 Simplifying w = 15
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