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Simplifying -5(3u + -6) + 7u = 4(u + 9) Reorder the terms: -5(-6 + 3u) + 7u = 4(u + 9) (-6 * -5 + 3u * -5) + 7u = 4(u + 9) (30 + -15u) + 7u = 4(u + 9) Combine like terms: -15u + 7u = -8u 30 + -8u = 4(u + 9) Reorder the terms: 30 + -8u = 4(9 + u) 30 + -8u = (9 * 4 + u * 4) 30 + -8u = (36 + 4u) Solving 30 + -8u = 36 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 30 + -8u + -4u = 36 + 4u + -4u Combine like terms: -8u + -4u = -12u 30 + -12u = 36 + 4u + -4u Combine like terms: 4u + -4u = 0 30 + -12u = 36 + 0 30 + -12u = 36 Add '-30' to each side of the equation. 30 + -30 + -12u = 36 + -30 Combine like terms: 30 + -30 = 0 0 + -12u = 36 + -30 -12u = 36 + -30 Combine like terms: 36 + -30 = 6 -12u = 6 Divide each side by '-12'. u = -0.5 Simplifying u = -0.5
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