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Simplifying 9(5u + 2) + 12u = 5(12u + -3) Reorder the terms: 9(2 + 5u) + 12u = 5(12u + -3) (2 * 9 + 5u * 9) + 12u = 5(12u + -3) (18 + 45u) + 12u = 5(12u + -3) Combine like terms: 45u + 12u = 57u 18 + 57u = 5(12u + -3) Reorder the terms: 18 + 57u = 5(-3 + 12u) 18 + 57u = (-3 * 5 + 12u * 5) 18 + 57u = (-15 + 60u) Solving 18 + 57u = -15 + 60u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-60u' to each side of the equation. 18 + 57u + -60u = -15 + 60u + -60u Combine like terms: 57u + -60u = -3u 18 + -3u = -15 + 60u + -60u Combine like terms: 60u + -60u = 0 18 + -3u = -15 + 0 18 + -3u = -15 Add '-18' to each side of the equation. 18 + -18 + -3u = -15 + -18 Combine like terms: 18 + -18 = 0 0 + -3u = -15 + -18 -3u = -15 + -18 Combine like terms: -15 + -18 = -33 -3u = -33 Divide each side by '-3'. u = 11 Simplifying u = 11
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