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Simplifying 3a + 2b + 3c = 10000 Solving 3a + 2b + 3c = 10000 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 3a + 2b + -2b + 3c = 10000 + -2b Combine like terms: 2b + -2b = 0 3a + 0 + 3c = 10000 + -2b 3a + 3c = 10000 + -2b Add '-3c' to each side of the equation. 3a + 3c + -3c = 10000 + -2b + -3c Combine like terms: 3c + -3c = 0 3a + 0 = 10000 + -2b + -3c 3a = 10000 + -2b + -3c Divide each side by '3'. a = 3333.333333 + -0.6666666667b + -1c Simplifying a = 3333.333333 + -0.6666666667b + -1c
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