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Simplifying 4[u + -1] + 7 = 5[2u + -3] Reorder the terms: 4[-1 + u] + 7 = 5[2u + -3] [-1 * 4 + u * 4] + 7 = 5[2u + -3] [-4 + 4u] + 7 = 5[2u + -3] Reorder the terms: -4 + 7 + 4u = 5[2u + -3] Combine like terms: -4 + 7 = 3 3 + 4u = 5[2u + -3] Reorder the terms: 3 + 4u = 5[-3 + 2u] 3 + 4u = [-3 * 5 + 2u * 5] 3 + 4u = [-15 + 10u] Solving 3 + 4u = -15 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. 3 + 4u + -10u = -15 + 10u + -10u Combine like terms: 4u + -10u = -6u 3 + -6u = -15 + 10u + -10u Combine like terms: 10u + -10u = 0 3 + -6u = -15 + 0 3 + -6u = -15 Add '-3' to each side of the equation. 3 + -3 + -6u = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -6u = -15 + -3 -6u = -15 + -3 Combine like terms: -15 + -3 = -18 -6u = -18 Divide each side by '-6'. u = 3 Simplifying u = 3
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