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Simplifying -4(-3u + 9) + -2u = 6(u + -2) + -6 Reorder the terms: -4(9 + -3u) + -2u = 6(u + -2) + -6 (9 * -4 + -3u * -4) + -2u = 6(u + -2) + -6 (-36 + 12u) + -2u = 6(u + -2) + -6 Combine like terms: 12u + -2u = 10u -36 + 10u = 6(u + -2) + -6 Reorder the terms: -36 + 10u = 6(-2 + u) + -6 -36 + 10u = (-2 * 6 + u * 6) + -6 -36 + 10u = (-12 + 6u) + -6 Reorder the terms: -36 + 10u = -12 + -6 + 6u Combine like terms: -12 + -6 = -18 -36 + 10u = -18 + 6u Solving -36 + 10u = -18 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -36 + 10u + -6u = -18 + 6u + -6u Combine like terms: 10u + -6u = 4u -36 + 4u = -18 + 6u + -6u Combine like terms: 6u + -6u = 0 -36 + 4u = -18 + 0 -36 + 4u = -18 Add '36' to each side of the equation. -36 + 36 + 4u = -18 + 36 Combine like terms: -36 + 36 = 0 0 + 4u = -18 + 36 4u = -18 + 36 Combine like terms: -18 + 36 = 18 4u = 18 Divide each side by '4'. u = 4.5 Simplifying u = 4.5
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