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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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