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Simplifying 9 + 3(3u + -7) = -3(3u + -1) + 8u Reorder the terms: 9 + 3(-7 + 3u) = -3(3u + -1) + 8u 9 + (-7 * 3 + 3u * 3) = -3(3u + -1) + 8u 9 + (-21 + 9u) = -3(3u + -1) + 8u Combine like terms: 9 + -21 = -12 -12 + 9u = -3(3u + -1) + 8u Reorder the terms: -12 + 9u = -3(-1 + 3u) + 8u -12 + 9u = (-1 * -3 + 3u * -3) + 8u -12 + 9u = (3 + -9u) + 8u Combine like terms: -9u + 8u = -1u -12 + 9u = 3 + -1u Solving -12 + 9u = 3 + -1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add 'u' to each side of the equation. -12 + 9u + u = 3 + -1u + u Combine like terms: 9u + u = 10u -12 + 10u = 3 + -1u + u Combine like terms: -1u + u = 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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