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Simplifying 737(28q + 12x) = 47q + -849a(49x + 32l) (28q * 737 + 12x * 737) = 47q + -849a(49x + 32l) (20636q + 8844x) = 47q + -849a(49x + 32l) Reorder the terms: 20636q + 8844x = 47q + -849a(32l + 49x) 20636q + 8844x = 47q + (32l * -849a + 49x * -849a) 20636q + 8844x = 47q + (-27168al + -41601ax) Reorder the terms: 20636q + 8844x = -27168al + -41601ax + 47q Solving 20636q + 8844x = -27168al + -41601ax + 47q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-47q' to each side of the equation. 20636q + -47q + 8844x = -27168al + -41601ax + 47q + -47q Combine like terms: 20636q + -47q = 20589q 20589q + 8844x = -27168al + -41601ax + 47q + -47q Combine like terms: 47q + -47q = 0 20589q + 8844x = -27168al + -41601ax + 0 20589q + 8844x = -27168al + -41601ax Add '-8844x' to each side of the equation. 20589q + 8844x + -8844x = -27168al + -41601ax + -8844x Combine like terms: 8844x + -8844x = 0 20589q + 0 = -27168al + -41601ax + -8844x 20589q = -27168al + -41601ax + -8844x Divide each side by '20589'. q = -1.31953956al + -2.020544951ax + -0.4295497596x Simplifying q = -1.31953956al + -2.020544951ax + -0.4295497596x
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