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Simplifying 11w + -7 = 5w + 12 Reorder the terms: -7 + 11w = 5w + 12 Reorder the terms: -7 + 11w = 12 + 5w Solving -7 + 11w = 12 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -7 + 11w + -5w = 12 + 5w + -5w Combine like terms: 11w + -5w = 6w -7 + 6w = 12 + 5w + -5w Combine like terms: 5w + -5w = 0 -7 + 6w = 12 + 0 -7 + 6w = 12 Add '7' to each side of the equation. -7 + 7 + 6w = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 6w = 12 + 7 6w = 12 + 7 Combine like terms: 12 + 7 = 19 6w = 19 Divide each side by '6'. w = 3.166666667 Simplifying w = 3.166666667
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