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Simplifying 2w + 1 + 3w + -20 = w + 49 Reorder the terms: 1 + -20 + 2w + 3w = w + 49 Combine like terms: 1 + -20 = -19 -19 + 2w + 3w = w + 49 Combine like terms: 2w + 3w = 5w -19 + 5w = w + 49 Reorder the terms: -19 + 5w = 49 + w Solving -19 + 5w = 49 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -19 + 5w + -1w = 49 + w + -1w Combine like terms: 5w + -1w = 4w -19 + 4w = 49 + w + -1w Combine like terms: w + -1w = 0 -19 + 4w = 49 + 0 -19 + 4w = 49 Add '19' to each side of the equation. -19 + 19 + 4w = 49 + 19 Combine like terms: -19 + 19 = 0 0 + 4w = 49 + 19 4w = 49 + 19 Combine like terms: 49 + 19 = 68 4w = 68 Divide each side by '4'. w = 17 Simplifying w = 17
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