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Simplifying 50a + -30b + -10c = 0 Solving 50a + -30b + -10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30b' to each side of the equation. 50a + -30b + 30b + -10c = 0 + 30b Combine like terms: -30b + 30b = 0 50a + 0 + -10c = 0 + 30b 50a + -10c = 0 + 30b Remove the zero: 50a + -10c = 30b Add '10c' to each side of the equation. 50a + -10c + 10c = 30b + 10c Combine like terms: -10c + 10c = 0 50a + 0 = 30b + 10c 50a = 30b + 10c Divide each side by '50'. a = 0.6b + 0.2c Simplifying a = 0.6b + 0.2c
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