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Simplifying 30a + 20b + c = 1000 Solving 30a + 20b + c = 1000 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20b' to each side of the equation. 30a + 20b + -20b + c = 1000 + -20b Combine like terms: 20b + -20b = 0 30a + 0 + c = 1000 + -20b 30a + c = 1000 + -20b Add '-1c' to each side of the equation. 30a + c + -1c = 1000 + -20b + -1c Combine like terms: c + -1c = 0 30a + 0 = 1000 + -20b + -1c 30a = 1000 + -20b + -1c Divide each side by '30'. a = 33.33333333 + -0.6666666667b + -0.03333333333c Simplifying a = 33.33333333 + -0.6666666667b + -0.03333333333c
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