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Simplifying -3(2u + -4) + 5u = 9 + 3(3u + -4) Reorder the terms: -3(-4 + 2u) + 5u = 9 + 3(3u + -4) (-4 * -3 + 2u * -3) + 5u = 9 + 3(3u + -4) (12 + -6u) + 5u = 9 + 3(3u + -4) Combine like terms: -6u + 5u = -1u 12 + -1u = 9 + 3(3u + -4) Reorder the terms: 12 + -1u = 9 + 3(-4 + 3u) 12 + -1u = 9 + (-4 * 3 + 3u * 3) 12 + -1u = 9 + (-12 + 9u) Combine like terms: 9 + -12 = -3 12 + -1u = -3 + 9u Solving 12 + -1u = -3 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 12 + -1u + -9u = -3 + 9u + -9u Combine like terms: -1u + -9u = -10u 12 + -10u = -3 + 9u + -9u Combine like terms: 9u + -9u = 0 12 + -10u = -3 + 0 12 + -10u = -3 Add '-12' to each side of the equation. 12 + -12 + -10u = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -10u = -3 + -12 -10u = -3 + -12 Combine like terms: -3 + -12 = -15 -10u = -15 Divide each side by '-10'. u = 1.5 Simplifying u = 1.5
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