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Simplifying 9 + 5[a + -4(a + -5)] = 0 Reorder the terms: 9 + 5[a + -4(-5 + a)] = 0 9 + 5[a + (-5 * -4 + a * -4)] = 0 9 + 5[a + (20 + -4a)] = 0 Reorder the terms: 9 + 5[20 + a + -4a] = 0 Combine like terms: a + -4a = -3a 9 + 5[20 + -3a] = 0 9 + [20 * 5 + -3a * 5] = 0 9 + [100 + -15a] = 0 Combine like terms: 9 + 100 = 109 109 + -15a = 0 Solving 109 + -15a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-109' to each side of the equation. 109 + -109 + -15a = 0 + -109 Combine like terms: 109 + -109 = 0 0 + -15a = 0 + -109 -15a = 0 + -109 Combine like terms: 0 + -109 = -109 -15a = -109 Divide each side by '-15'. a = 7.266666667 Simplifying a = 7.266666667
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