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Simplifying 9[4 + -5(a + -5)] = 9(5 + -4a) Reorder the terms: 9[4 + -5(-5 + a)] = 9(5 + -4a) 9[4 + (-5 * -5 + a * -5)] = 9(5 + -4a) 9[4 + (25 + -5a)] = 9(5 + -4a) Combine like terms: 4 + 25 = 29 9[29 + -5a] = 9(5 + -4a) [29 * 9 + -5a * 9] = 9(5 + -4a) [261 + -45a] = 9(5 + -4a) 261 + -45a = (5 * 9 + -4a * 9) 261 + -45a = (45 + -36a) Solving 261 + -45a = 45 + -36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36a' to each side of the equation. 261 + -45a + 36a = 45 + -36a + 36a Combine like terms: -45a + 36a = -9a 261 + -9a = 45 + -36a + 36a Combine like terms: -36a + 36a = 0 261 + -9a = 45 + 0 261 + -9a = 45 Add '-261' to each side of the equation. 261 + -261 + -9a = 45 + -261 Combine like terms: 261 + -261 = 0 0 + -9a = 45 + -261 -9a = 45 + -261 Combine like terms: 45 + -261 = -216 -9a = -216 Divide each side by '-9'. a = 24 Simplifying a = 24
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