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Simplifying 2(9u + -6) = 6(2u + -4) Reorder the terms: 2(-6 + 9u) = 6(2u + -4) (-6 * 2 + 9u * 2) = 6(2u + -4) (-12 + 18u) = 6(2u + -4) Reorder the terms: -12 + 18u = 6(-4 + 2u) -12 + 18u = (-4 * 6 + 2u * 6) -12 + 18u = (-24 + 12u) Solving -12 + 18u = -24 + 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 + 18u + -12u = -24 + 12u + -12u Combine like terms: 18u + -12u = 6u -12 + 6u = -24 + 12u + -12u Combine like terms: 12u + -12u = 0 -12 + 6u = -24 + 0 -12 + 6u = -24 Add '12' to each side of the equation. -12 + 12 + 6u = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 6u = -24 + 12 6u = -24 + 12 Combine like terms: -24 + 12 = -12 6u = -12 Divide each side by '6'. u = -2 Simplifying u = -2
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