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Simplifying 5a + 3c = 2a + 7c Solving 5a + 3c = 2a + 7c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 5a + -2a + 3c = 2a + -2a + 7c Combine like terms: 5a + -2a = 3a 3a + 3c = 2a + -2a + 7c Combine like terms: 2a + -2a = 0 3a + 3c = 0 + 7c 3a + 3c = 7c Add '-3c' to each side of the equation. 3a + 3c + -3c = 7c + -3c Combine like terms: 3c + -3c = 0 3a + 0 = 7c + -3c 3a = 7c + -3c Combine like terms: 7c + -3c = 4c 3a = 4c Divide each side by '3'. a = 1.333333333c Simplifying a = 1.333333333c
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