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Simplifying 3w + -17 = 12w + -197 Reorder the terms: -17 + 3w = 12w + -197 Reorder the terms: -17 + 3w = -197 + 12w Solving -17 + 3w = -197 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -17 + 3w + -12w = -197 + 12w + -12w Combine like terms: 3w + -12w = -9w -17 + -9w = -197 + 12w + -12w Combine like terms: 12w + -12w = 0 -17 + -9w = -197 + 0 -17 + -9w = -197 Add '17' to each side of the equation. -17 + 17 + -9w = -197 + 17 Combine like terms: -17 + 17 = 0 0 + -9w = -197 + 17 -9w = -197 + 17 Combine like terms: -197 + 17 = -180 -9w = -180 Divide each side by '-9'. w = 20 Simplifying w = 20
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