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Simplifying w + -19 + 17w = 17 + 20w Reorder the terms: -19 + w + 17w = 17 + 20w Combine like terms: w + 17w = 18w -19 + 18w = 17 + 20w Solving -19 + 18w = 17 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. -19 + 18w + -20w = 17 + 20w + -20w Combine like terms: 18w + -20w = -2w -19 + -2w = 17 + 20w + -20w Combine like terms: 20w + -20w = 0 -19 + -2w = 17 + 0 -19 + -2w = 17 Add '19' to each side of the equation. -19 + 19 + -2w = 17 + 19 Combine like terms: -19 + 19 = 0 0 + -2w = 17 + 19 -2w = 17 + 19 Combine like terms: 17 + 19 = 36 -2w = 36 Divide each side by '-2'. w = -18 Simplifying w = -18
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