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Simplifying 12a + 6 = 38 + -4a Reorder the terms: 6 + 12a = 38 + -4a Solving 6 + 12a = 38 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 6 + 12a + 4a = 38 + -4a + 4a Combine like terms: 12a + 4a = 16a 6 + 16a = 38 + -4a + 4a Combine like terms: -4a + 4a = 0 6 + 16a = 38 + 0 6 + 16a = 38 Add '-6' to each side of the equation. 6 + -6 + 16a = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 16a = 38 + -6 16a = 38 + -6 Combine like terms: 38 + -6 = 32 16a = 32 Divide each side by '16'. a = 2 Simplifying a = 2
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