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Simplifying 6(u + 3) = -3(4u + -7) + 3u Reorder the terms: 6(3 + u) = -3(4u + -7) + 3u (3 * 6 + u * 6) = -3(4u + -7) + 3u (18 + 6u) = -3(4u + -7) + 3u Reorder the terms: 18 + 6u = -3(-7 + 4u) + 3u 18 + 6u = (-7 * -3 + 4u * -3) + 3u 18 + 6u = (21 + -12u) + 3u Combine like terms: -12u + 3u = -9u 18 + 6u = 21 + -9u Solving 18 + 6u = 21 + -9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9u' to each side of the equation. 18 + 6u + 9u = 21 + -9u + 9u Combine like terms: 6u + 9u = 15u 18 + 15u = 21 + -9u + 9u Combine like terms: -9u + 9u = 0 18 + 15u = 21 + 0 18 + 15u = 21 Add '-18' to each side of the equation. 18 + -18 + 15u = 21 + -18 Combine like terms: 18 + -18 = 0 0 + 15u = 21 + -18 15u = 21 + -18 Combine like terms: 21 + -18 = 3 15u = 3 Divide each side by '15'. u = 0.2 Simplifying u = 0.2
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