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Simplifying 12a + 3 + -5a = a + 9 + -4 Reorder the terms: 3 + 12a + -5a = a + 9 + -4 Combine like terms: 12a + -5a = 7a 3 + 7a = a + 9 + -4 Reorder the terms: 3 + 7a = 9 + -4 + a Combine like terms: 9 + -4 = 5 3 + 7a = 5 + a Solving 3 + 7a = 5 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 3 + 7a + -1a = 5 + a + -1a Combine like terms: 7a + -1a = 6a 3 + 6a = 5 + a + -1a Combine like terms: a + -1a = 0 3 + 6a = 5 + 0 3 + 6a = 5 Add '-3' to each side of the equation. 3 + -3 + 6a = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 6a = 5 + -3 6a = 5 + -3 Combine like terms: 5 + -3 = 2 6a = 2 Divide each side by '6'. a = 0.3333333333 Simplifying a = 0.3333333333
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