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Simplifying -3(-7u + 6) + -9u = 6(u + -2) + -4 Reorder the terms: -3(6 + -7u) + -9u = 6(u + -2) + -4 (6 * -3 + -7u * -3) + -9u = 6(u + -2) + -4 (-18 + 21u) + -9u = 6(u + -2) + -4 Combine like terms: 21u + -9u = 12u -18 + 12u = 6(u + -2) + -4 Reorder the terms: -18 + 12u = 6(-2 + u) + -4 -18 + 12u = (-2 * 6 + u * 6) + -4 -18 + 12u = (-12 + 6u) + -4 Reorder the terms: -18 + 12u = -12 + -4 + 6u Combine like terms: -12 + -4 = -16 -18 + 12u = -16 + 6u Solving -18 + 12u = -16 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -18 + 12u + -6u = -16 + 6u + -6u Combine like terms: 12u + -6u = 6u -18 + 6u = -16 + 6u + -6u Combine like terms: 6u + -6u = 0 -18 + 6u = -16 + 0 -18 + 6u = -16 Add '18' to each side of the equation. -18 + 18 + 6u = -16 + 18 Combine like terms: -18 + 18 = 0 0 + 6u = -16 + 18 6u = -16 + 18 Combine like terms: -16 + 18 = 2 6u = 2 Divide each side by '6'. u = 0.3333333333 Simplifying u = 0.3333333333
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