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Simplifying 1 + -11w + 4 = 3w + 12 + 9w Reorder the terms: 1 + 4 + -11w = 3w + 12 + 9w Combine like terms: 1 + 4 = 5 5 + -11w = 3w + 12 + 9w Reorder the terms: 5 + -11w = 12 + 3w + 9w Combine like terms: 3w + 9w = 12w 5 + -11w = 12 + 12w Solving 5 + -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. 5 + -11w + -12w = 12 + 12w + -12w Combine like terms: -11w + -12w = -23w 5 + -23w = 12 + 12w + -12w Combine like terms: 12w + -12w = 0 5 + -23w = 12 + 0 5 + -23w = 12 Add '-5' to each side of the equation. 5 + -5 + -23w = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -23w = 12 + -5 -23w = 12 + -5 Combine like terms: 12 + -5 = 7 -23w = 7 Divide each side by '-23'. w = -0.3043478261 Simplifying w = -0.3043478261
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