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Simplifying 12a + -6 = 9 + 7a Reorder the terms: -6 + 12a = 9 + 7a Solving -6 + 12a = 9 + 7a 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. -6 + 12a + -7a = 9 + 7a + -7a Combine like terms: 12a + -7a = 5a -6 + 5a = 9 + 7a + -7a Combine like terms: 7a + -7a = 0 -6 + 5a = 9 + 0 -6 + 5a = 9 Add '6' to each side of the equation. -6 + 6 + 5a = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5a = 9 + 6 5a = 9 + 6 Combine like terms: 9 + 6 = 15 5a = 15 Divide each side by '5'. a = 3 Simplifying a = 3
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