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Simplifying 3a + 2(a + 6) = 52 Reorder the terms: 3a + 2(6 + a) = 52 3a + (6 * 2 + a * 2) = 52 3a + (12 + 2a) = 52 Reorder the terms: 12 + 3a + 2a = 52 Combine like terms: 3a + 2a = 5a 12 + 5a = 52 Solving 12 + 5a = 52 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5a = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = 52 + -12 5a = 52 + -12 Combine like terms: 52 + -12 = 40 5a = 40 Divide each side by '5'. a = 8 Simplifying a = 8
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