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Simplifying 12a + 30 = 5a + 9 Reorder the terms: 30 + 12a = 5a + 9 Reorder the terms: 30 + 12a = 9 + 5a Solving 30 + 12a = 9 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 30 + 12a + -5a = 9 + 5a + -5a Combine like terms: 12a + -5a = 7a 30 + 7a = 9 + 5a + -5a Combine like terms: 5a + -5a = 0 30 + 7a = 9 + 0 30 + 7a = 9 Add '-30' to each side of the equation. 30 + -30 + 7a = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 7a = 9 + -30 7a = 9 + -30 Combine like terms: 9 + -30 = -21 7a = -21 Divide each side by '7'. a = -3 Simplifying a = -3
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