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Simplifying 3w + 6(u + 1) + -10 = 11w + -3(4 + -2w) Reorder the terms: 3w + 6(1 + u) + -10 = 11w + -3(4 + -2w) 3w + (1 * 6 + u * 6) + -10 = 11w + -3(4 + -2w) 3w + (6 + 6u) + -10 = 11w + -3(4 + -2w) Reorder the terms: 6 + -10 + 6u + 3w = 11w + -3(4 + -2w) Combine like terms: 6 + -10 = -4 -4 + 6u + 3w = 11w + -3(4 + -2w) -4 + 6u + 3w = 11w + (4 * -3 + -2w * -3) -4 + 6u + 3w = 11w + (-12 + 6w) Reorder the terms: -4 + 6u + 3w = -12 + 11w + 6w Combine like terms: 11w + 6w = 17w -4 + 6u + 3w = -12 + 17w Solving -4 + 6u + 3w = -12 + 17w Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 6u + 4 + 3w = -12 + 4 + 17w Reorder the terms: -4 + 4 + 6u + 3w = -12 + 4 + 17w Combine like terms: -4 + 4 = 0 0 + 6u + 3w = -12 + 4 + 17w 6u + 3w = -12 + 4 + 17w Combine like terms: -12 + 4 = -8 6u + 3w = -8 + 17w Add '-3w' to each side of the equation. 6u + 3w + -3w = -8 + 17w + -3w Combine like terms: 3w + -3w = 0 6u + 0 = -8 + 17w + -3w 6u = -8 + 17w + -3w Combine like terms: 17w + -3w = 14w 6u = -8 + 14w Divide each side by '6'. u = -1.333333333 + 2.333333333w Simplifying u = -1.333333333 + 2.333333333w
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