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Simplifying 3(6u + -3) + -7(2u + -1) = 0 Reorder the terms: 3(-3 + 6u) + -7(2u + -1) = 0 (-3 * 3 + 6u * 3) + -7(2u + -1) = 0 (-9 + 18u) + -7(2u + -1) = 0 Reorder the terms: -9 + 18u + -7(-1 + 2u) = 0 -9 + 18u + (-1 * -7 + 2u * -7) = 0 -9 + 18u + (7 + -14u) = 0 Reorder the terms: -9 + 7 + 18u + -14u = 0 Combine like terms: -9 + 7 = -2 -2 + 18u + -14u = 0 Combine like terms: 18u + -14u = 4u -2 + 4u = 0 Solving -2 + 4u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4u = 0 + 2 4u = 0 + 2 Combine like terms: 0 + 2 = 2 4u = 2 Divide each side by '4'. u = 0.5 Simplifying u = 0.5
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