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Simplifying 6(5 + -3u) = 4u + -12 (5 * 6 + -3u * 6) = 4u + -12 (30 + -18u) = 4u + -12 Reorder the terms: 30 + -18u = -12 + 4u Solving 30 + -18u = -12 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 30 + -18u + -4u = -12 + 4u + -4u Combine like terms: -18u + -4u = -22u 30 + -22u = -12 + 4u + -4u Combine like terms: 4u + -4u = 0 30 + -22u = -12 + 0 30 + -22u = -12 Add '-30' to each side of the equation. 30 + -30 + -22u = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -22u = -12 + -30 -22u = -12 + -30 Combine like terms: -12 + -30 = -42 -22u = -42 Divide each side by '-22'. u = 1.909090909 Simplifying u = 1.909090909
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