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Simplifying 3a + c = 5b + -7a Reorder the terms: 3a + c = -7a + 5b Solving 3a + c = -7a + 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 3a + 7a + c = -7a + 7a + 5b Combine like terms: 3a + 7a = 10a 10a + c = -7a + 7a + 5b Combine like terms: -7a + 7a = 0 10a + c = 0 + 5b 10a + c = 5b Add '-1c' to each side of the equation. 10a + c + -1c = 5b + -1c Combine like terms: c + -1c = 0 10a + 0 = 5b + -1c 10a = 5b + -1c Divide each side by '10'. a = 0.5b + -0.1c Simplifying a = 0.5b + -0.1c
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