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Simplifying 8w + 12 = 11w + -30 Reorder the terms: 12 + 8w = 11w + -30 Reorder the terms: 12 + 8w = -30 + 11w Solving 12 + 8w = -30 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. 12 + 8w + -11w = -30 + 11w + -11w Combine like terms: 8w + -11w = -3w 12 + -3w = -30 + 11w + -11w Combine like terms: 11w + -11w = 0 12 + -3w = -30 + 0 12 + -3w = -30 Add '-12' to each side of the equation. 12 + -12 + -3w = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -3w = -30 + -12 -3w = -30 + -12 Combine like terms: -30 + -12 = -42 -3w = -42 Divide each side by '-3'. w = 14 Simplifying w = 14
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