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Simplifying 9(a + 5) = 117 Reorder the terms: 9(5 + a) = 117 (5 * 9 + a * 9) = 117 (45 + 9a) = 117 Solving 45 + 9a = 117 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 9a = 117 + -45 Combine like terms: 45 + -45 = 0 0 + 9a = 117 + -45 9a = 117 + -45 Combine like terms: 117 + -45 = 72 9a = 72 Divide each side by '9'. a = 8 Simplifying a = 8
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