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Simplifying 8(2a + 3) + -12 = 129 + -8 Reorder the terms: 8(3 + 2a) + -12 = 129 + -8 (3 * 8 + 2a * 8) + -12 = 129 + -8 (24 + 16a) + -12 = 129 + -8 Reorder the terms: 24 + -12 + 16a = 129 + -8 Combine like terms: 24 + -12 = 12 12 + 16a = 129 + -8 Combine like terms: 129 + -8 = 121 12 + 16a = 121 Solving 12 + 16a = 121 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 + 16a = 121 + -12 Combine like terms: 12 + -12 = 0 0 + 16a = 121 + -12 16a = 121 + -12 Combine like terms: 121 + -12 = 109 16a = 109 Divide each side by '16'. a = 6.8125 Simplifying a = 6.8125
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