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Simplifying 5a + -2b + -3c = 10 Solving 5a + -2b + -3c = 10 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. 5a + -2b + 2b + -3c = 10 + 2b Combine like terms: -2b + 2b = 0 5a + 0 + -3c = 10 + 2b 5a + -3c = 10 + 2b Add '3c' to each side of the equation. 5a + -3c + 3c = 10 + 2b + 3c Combine like terms: -3c + 3c = 0 5a + 0 = 10 + 2b + 3c 5a = 10 + 2b + 3c Divide each side by '5'. a = 2 + 0.4b + 0.6c Simplifying a = 2 + 0.4b + 0.6c
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