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Simplifying 12u + 19 + 12u = 7(4u + 12) + -9 Reorder the terms: 19 + 12u + 12u = 7(4u + 12) + -9 Combine like terms: 12u + 12u = 24u 19 + 24u = 7(4u + 12) + -9 Reorder the terms: 19 + 24u = 7(12 + 4u) + -9 19 + 24u = (12 * 7 + 4u * 7) + -9 19 + 24u = (84 + 28u) + -9 Reorder the terms: 19 + 24u = 84 + -9 + 28u Combine like terms: 84 + -9 = 75 19 + 24u = 75 + 28u Solving 19 + 24u = 75 + 28u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-28u' to each side of the equation. 19 + 24u + -28u = 75 + 28u + -28u Combine like terms: 24u + -28u = -4u 19 + -4u = 75 + 28u + -28u Combine like terms: 28u + -28u = 0 19 + -4u = 75 + 0 19 + -4u = 75 Add '-19' to each side of the equation. 19 + -19 + -4u = 75 + -19 Combine like terms: 19 + -19 = 0 0 + -4u = 75 + -19 -4u = 75 + -19 Combine like terms: 75 + -19 = 56 -4u = 56 Divide each side by '-4'. u = -14 Simplifying u = -14
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