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Simplifying 6u + 7 + 6w + -5u + -2w + -15 = 0 Reorder the terms: 7 + -15 + 6u + -5u + 6w + -2w = 0 Combine like terms: 7 + -15 = -8 -8 + 6u + -5u + 6w + -2w = 0 Combine like terms: 6u + -5u = 1u -8 + 1u + 6w + -2w = 0 Combine like terms: 6w + -2w = 4w -8 + 1u + 4w = 0 Solving -8 + 1u + 4w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 1u + 8 + 4w = 0 + 8 Reorder the terms: -8 + 8 + 1u + 4w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1u + 4w = 0 + 8 1u + 4w = 0 + 8 Combine like terms: 0 + 8 = 8 1u + 4w = 8 Add '-4w' to each side of the equation. 1u + 4w + -4w = 8 + -4w Combine like terms: 4w + -4w = 0 1u + 0 = 8 + -4w 1u = 8 + -4w Divide each side by '1'. u = 8 + -4w Simplifying u = 8 + -4w
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