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Simplifying -5(3u + -6) + 7u = 6(u + 6) Reorder the terms: -5(-6 + 3u) + 7u = 6(u + 6) (-6 * -5 + 3u * -5) + 7u = 6(u + 6) (30 + -15u) + 7u = 6(u + 6) Combine like terms: -15u + 7u = -8u 30 + -8u = 6(u + 6) Reorder the terms: 30 + -8u = 6(6 + u) 30 + -8u = (6 * 6 + u * 6) 30 + -8u = (36 + 6u) Solving 30 + -8u = 36 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 30 + -8u + -6u = 36 + 6u + -6u Combine like terms: -8u + -6u = -14u 30 + -14u = 36 + 6u + -6u Combine like terms: 6u + -6u = 0 30 + -14u = 36 + 0 30 + -14u = 36 Add '-30' to each side of the equation. 30 + -30 + -14u = 36 + -30 Combine like terms: 30 + -30 = 0 0 + -14u = 36 + -30 -14u = 36 + -30 Combine like terms: 36 + -30 = 6 -14u = 6 Divide each side by '-14'. u = -0.4285714286 Simplifying u = -0.4285714286
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