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Simplifying 2(4a + 3) = 102 Reorder the terms: 2(3 + 4a) = 102 (3 * 2 + 4a * 2) = 102 (6 + 8a) = 102 Solving 6 + 8a = 102 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8a = 102 + -6 Combine like terms: 6 + -6 = 0 0 + 8a = 102 + -6 8a = 102 + -6 Combine like terms: 102 + -6 = 96 8a = 96 Divide each side by '8'. a = 12 Simplifying a = 12
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