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Simplifying -5(3u + -6) + 4u = 7(u + 4) Reorder the terms: -5(-6 + 3u) + 4u = 7(u + 4) (-6 * -5 + 3u * -5) + 4u = 7(u + 4) (30 + -15u) + 4u = 7(u + 4) Combine like terms: -15u + 4u = -11u 30 + -11u = 7(u + 4) Reorder the terms: 30 + -11u = 7(4 + u) 30 + -11u = (4 * 7 + u * 7) 30 + -11u = (28 + 7u) Solving 30 + -11u = 28 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 30 + -11u + -7u = 28 + 7u + -7u Combine like terms: -11u + -7u = -18u 30 + -18u = 28 + 7u + -7u Combine like terms: 7u + -7u = 0 30 + -18u = 28 + 0 30 + -18u = 28 Add '-30' to each side of the equation. 30 + -30 + -18u = 28 + -30 Combine like terms: 30 + -30 = 0 0 + -18u = 28 + -30 -18u = 28 + -30 Combine like terms: 28 + -30 = -2 -18u = -2 Divide each side by '-18'. u = 0.1111111111 Simplifying u = 0.1111111111
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