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Simplifying 6(u + 2) = -3(7u + -1) + 9u Reorder the terms: 6(2 + u) = -3(7u + -1) + 9u (2 * 6 + u * 6) = -3(7u + -1) + 9u (12 + 6u) = -3(7u + -1) + 9u Reorder the terms: 12 + 6u = -3(-1 + 7u) + 9u 12 + 6u = (-1 * -3 + 7u * -3) + 9u 12 + 6u = (3 + -21u) + 9u Combine like terms: -21u + 9u = -12u 12 + 6u = 3 + -12u Solving 12 + 6u = 3 + -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. 12 + 6u + 12u = 3 + -12u + 12u Combine like terms: 6u + 12u = 18u 12 + 18u = 3 + -12u + 12u Combine like terms: -12u + 12u = 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 = -9 18u = -9 Divide each side by '18'. u = -0.5 Simplifying u = -0.5
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