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Simplifying 8 + 3(3u + -4) = -2(3u + -3) + 9u Reorder the terms: 8 + 3(-4 + 3u) = -2(3u + -3) + 9u 8 + (-4 * 3 + 3u * 3) = -2(3u + -3) + 9u 8 + (-12 + 9u) = -2(3u + -3) + 9u Combine like terms: 8 + -12 = -4 -4 + 9u = -2(3u + -3) + 9u Reorder the terms: -4 + 9u = -2(-3 + 3u) + 9u -4 + 9u = (-3 * -2 + 3u * -2) + 9u -4 + 9u = (6 + -6u) + 9u Combine like terms: -6u + 9u = 3u -4 + 9u = 6 + 3u Solving -4 + 9u = 6 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -4 + 9u + -3u = 6 + 3u + -3u Combine like terms: 9u + -3u = 6u -4 + 6u = 6 + 3u + -3u Combine like terms: 3u + -3u = 0 -4 + 6u = 6 + 0 -4 + 6u = 6 Add '4' to each side of the equation. -4 + 4 + 6u = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 6u = 6 + 4 6u = 6 + 4 Combine like terms: 6 + 4 = 10 6u = 10 Divide each side by '6'. u = 1.666666667 Simplifying u = 1.666666667
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