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Simplifying 10a + -5c + 12a + -8c = 0 Reorder the terms: 10a + 12a + -5c + -8c = 0 Combine like terms: 10a + 12a = 22a 22a + -5c + -8c = 0 Combine like terms: -5c + -8c = -13c 22a + -13c = 0 Solving 22a + -13c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13c' to each side of the equation. 22a + -13c + 13c = 0 + 13c Combine like terms: -13c + 13c = 0 22a + 0 = 0 + 13c 22a = 0 + 13c Remove the zero: 22a = 13c Divide each side by '22'. a = 0.5909090909c Simplifying a = 0.5909090909c
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