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Simplifying 5a + 3c + 9a + -6a = 3(c + 8) Reorder the terms: 5a + 9a + -6a + 3c = 3(c + 8) Combine like terms: 5a + 9a = 14a 14a + -6a + 3c = 3(c + 8) Combine like terms: 14a + -6a = 8a 8a + 3c = 3(c + 8) Reorder the terms: 8a + 3c = 3(8 + c) 8a + 3c = (8 * 3 + c * 3) 8a + 3c = (24 + 3c) Add '-3c' to each side of the equation. 8a + 3c + -3c = 24 + 3c + -3c Combine like terms: 3c + -3c = 0 8a + 0 = 24 + 3c + -3c 8a = 24 + 3c + -3c Combine like terms: 3c + -3c = 0 8a = 24 + 0 8a = 24 Solving 8a = 24 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '8'. a = 3 Simplifying a = 3
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