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Simplifying (10250 + -1b) + (7250 + -1c) + (11850 + -1a) = 20000 Remove parenthesis around (10250 + -1b) 10250 + -1b + (7250 + -1c) + (11850 + -1a) = 20000 Remove parenthesis around (7250 + -1c) 10250 + -1b + 7250 + -1c + (11850 + -1a) = 20000 Remove parenthesis around (11850 + -1a) 10250 + -1b + 7250 + -1c + 11850 + -1a = 20000 Reorder the terms: 10250 + 7250 + 11850 + -1a + -1b + -1c = 20000 Combine like terms: 10250 + 7250 = 17500 17500 + 11850 + -1a + -1b + -1c = 20000 Combine like terms: 17500 + 11850 = 29350 29350 + -1a + -1b + -1c = 20000 Solving 29350 + -1a + -1b + -1c = 20000 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-29350' to each side of the equation. 29350 + -1a + -1b + -29350 + -1c = 20000 + -29350 Reorder the terms: 29350 + -29350 + -1a + -1b + -1c = 20000 + -29350 Combine like terms: 29350 + -29350 = 0 0 + -1a + -1b + -1c = 20000 + -29350 -1a + -1b + -1c = 20000 + -29350 Combine like terms: 20000 + -29350 = -9350 -1a + -1b + -1c = -9350 Add 'b' to each side of the equation. -1a + -1b + b + -1c = -9350 + b Combine like terms: -1b + b = 0 -1a + 0 + -1c = -9350 + b -1a + -1c = -9350 + b Add 'c' to each side of the equation. -1a + -1c + c = -9350 + b + c Combine like terms: -1c + c = 0 -1a + 0 = -9350 + b + c -1a = -9350 + b + c Divide each side by '-1'. a = 9350 + -1b + -1c Simplifying a = 9350 + -1b + -1c
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