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Simplifying 12a + 3 = 45 + -6a Reorder the terms: 3 + 12a = 45 + -6a Solving 3 + 12a = 45 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 3 + 12a + 6a = 45 + -6a + 6a Combine like terms: 12a + 6a = 18a 3 + 18a = 45 + -6a + 6a Combine like terms: -6a + 6a = 0 3 + 18a = 45 + 0 3 + 18a = 45 Add '-3' to each side of the equation. 3 + -3 + 18a = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 18a = 45 + -3 18a = 45 + -3 Combine like terms: 45 + -3 = 42 18a = 42 Divide each side by '18'. a = 2.333333333 Simplifying a = 2.333333333
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