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Simplifying 10a + -4b + -5c + 8c = 0 Combine like terms: -5c + 8c = 3c 10a + -4b + 3c = 0 Solving 10a + -4b + 3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 10a + -4b + 4b + 3c = 0 + 4b Combine like terms: -4b + 4b = 0 10a + 0 + 3c = 0 + 4b 10a + 3c = 0 + 4b Remove the zero: 10a + 3c = 4b Add '-3c' to each side of the equation. 10a + 3c + -3c = 4b + -3c Combine like terms: 3c + -3c = 0 10a + 0 = 4b + -3c 10a = 4b + -3c Divide each side by '10'. a = 0.4b + -0.3c Simplifying a = 0.4b + -0.3c
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