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Simplifying -3(u + 3) = 8u + -9 + 2(2u + 9) Reorder the terms: -3(3 + u) = 8u + -9 + 2(2u + 9) (3 * -3 + u * -3) = 8u + -9 + 2(2u + 9) (-9 + -3u) = 8u + -9 + 2(2u + 9) Reorder the terms: -9 + -3u = 8u + -9 + 2(9 + 2u) -9 + -3u = 8u + -9 + (9 * 2 + 2u * 2) -9 + -3u = 8u + -9 + (18 + 4u) Reorder the terms: -9 + -3u = -9 + 18 + 8u + 4u Combine like terms: -9 + 18 = 9 -9 + -3u = 9 + 8u + 4u Combine like terms: 8u + 4u = 12u -9 + -3u = 9 + 12u Solving -9 + -3u = 9 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -9 + -3u + -12u = 9 + 12u + -12u Combine like terms: -3u + -12u = -15u -9 + -15u = 9 + 12u + -12u Combine like terms: 12u + -12u = 0 -9 + -15u = 9 + 0 -9 + -15u = 9 Add '9' to each side of the equation. -9 + 9 + -15u = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -15u = 9 + 9 -15u = 9 + 9 Combine like terms: 9 + 9 = 18 -15u = 18 Divide each side by '-15'. u = -1.2 Simplifying u = -1.2
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