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Simplifying 12a + 3 = 7a + -2 Reorder the terms: 3 + 12a = 7a + -2 Reorder the terms: 3 + 12a = -2 + 7a Solving 3 + 12a = -2 + 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. 3 + 12a + -7a = -2 + 7a + -7a Combine like terms: 12a + -7a = 5a 3 + 5a = -2 + 7a + -7a Combine like terms: 7a + -7a = 0 3 + 5a = -2 + 0 3 + 5a = -2 Add '-3' to each side of the equation. 3 + -3 + 5a = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 5a = -2 + -3 5a = -2 + -3 Combine like terms: -2 + -3 = -5 5a = -5 Divide each side by '5'. a = -1 Simplifying a = -1
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