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Simplifying -3(u + 4) = 7u + -9 + 4(2u + 3) Reorder the terms: -3(4 + u) = 7u + -9 + 4(2u + 3) (4 * -3 + u * -3) = 7u + -9 + 4(2u + 3) (-12 + -3u) = 7u + -9 + 4(2u + 3) Reorder the terms: -12 + -3u = 7u + -9 + 4(3 + 2u) -12 + -3u = 7u + -9 + (3 * 4 + 2u * 4) -12 + -3u = 7u + -9 + (12 + 8u) Reorder the terms: -12 + -3u = -9 + 12 + 7u + 8u Combine like terms: -9 + 12 = 3 -12 + -3u = 3 + 7u + 8u Combine like terms: 7u + 8u = 15u -12 + -3u = 3 + 15u Solving -12 + -3u = 3 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. -12 + -3u + -15u = 3 + 15u + -15u Combine like terms: -3u + -15u = -18u -12 + -18u = 3 + 15u + -15u Combine like terms: 15u + -15u = 0 -12 + -18u = 3 + 0 -12 + -18u = 3 Add '12' to each side of the equation. -12 + 12 + -18u = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -18u = 3 + 12 -18u = 3 + 12 Combine like terms: 3 + 12 = 15 -18u = 15 Divide each side by '-18'. u = -0.8333333333 Simplifying u = -0.8333333333
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