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Simplifying 11w + 17 = 12w + 12 Reorder the terms: 17 + 11w = 12w + 12 Reorder the terms: 17 + 11w = 12 + 12w Solving 17 + 11w = 12 + 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 + 11w + -12w = 12 + 12w + -12w Combine like terms: 11w + -12w = -1w 17 + -1w = 12 + 12w + -12w Combine like terms: 12w + -12w = 0 17 + -1w = 12 + 0 17 + -1w = 12 Add '-17' to each side of the equation. 17 + -17 + -1w = 12 + -17 Combine like terms: 17 + -17 = 0 0 + -1w = 12 + -17 -1w = 12 + -17 Combine like terms: 12 + -17 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5
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