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Simplifying 2(4a + 6) = 23 Reorder the terms: 2(6 + 4a) = 23 (6 * 2 + 4a * 2) = 23 (12 + 8a) = 23 Solving 12 + 8a = 23 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 + 8a = 23 + -12 Combine like terms: 12 + -12 = 0 0 + 8a = 23 + -12 8a = 23 + -12 Combine like terms: 23 + -12 = 11 8a = 11 Divide each side by '8'. a = 1.375 Simplifying a = 1.375
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