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Simplifying 6 + 2(3u + -4) = -3(5u + -2) + 3u Reorder the terms: 6 + 2(-4 + 3u) = -3(5u + -2) + 3u 6 + (-4 * 2 + 3u * 2) = -3(5u + -2) + 3u 6 + (-8 + 6u) = -3(5u + -2) + 3u Combine like terms: 6 + -8 = -2 -2 + 6u = -3(5u + -2) + 3u Reorder the terms: -2 + 6u = -3(-2 + 5u) + 3u -2 + 6u = (-2 * -3 + 5u * -3) + 3u -2 + 6u = (6 + -15u) + 3u Combine like terms: -15u + 3u = -12u -2 + 6u = 6 + -12u Solving -2 + 6u = 6 + -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. -2 + 6u + 12u = 6 + -12u + 12u Combine like terms: 6u + 12u = 18u -2 + 18u = 6 + -12u + 12u Combine like terms: -12u + 12u = 0 -2 + 18u = 6 + 0 -2 + 18u = 6 Add '2' to each side of the equation. -2 + 2 + 18u = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 18u = 6 + 2 18u = 6 + 2 Combine like terms: 6 + 2 = 8 18u = 8 Divide each side by '18'. u = 0.4444444444 Simplifying u = 0.4444444444
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