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Simplifying -3(-7u + 4) + -9u = 6(u + -3) + -2 Reorder the terms: -3(4 + -7u) + -9u = 6(u + -3) + -2 (4 * -3 + -7u * -3) + -9u = 6(u + -3) + -2 (-12 + 21u) + -9u = 6(u + -3) + -2 Combine like terms: 21u + -9u = 12u -12 + 12u = 6(u + -3) + -2 Reorder the terms: -12 + 12u = 6(-3 + u) + -2 -12 + 12u = (-3 * 6 + u * 6) + -2 -12 + 12u = (-18 + 6u) + -2 Reorder the terms: -12 + 12u = -18 + -2 + 6u Combine like terms: -18 + -2 = -20 -12 + 12u = -20 + 6u Solving -12 + 12u = -20 + 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. -12 + 12u + -6u = -20 + 6u + -6u Combine like terms: 12u + -6u = 6u -12 + 6u = -20 + 6u + -6u Combine like terms: 6u + -6u = 0 -12 + 6u = -20 + 0 -12 + 6u = -20 Add '12' to each side of the equation. -12 + 12 + 6u = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 6u = -20 + 12 6u = -20 + 12 Combine like terms: -20 + 12 = -8 6u = -8 Divide each side by '6'. u = -1.333333333 Simplifying u = -1.333333333
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