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Simplifying 4a + 5(a + 4) = 0 Reorder the terms: 4a + 5(4 + a) = 0 4a + (4 * 5 + a * 5) = 0 4a + (20 + 5a) = 0 Reorder the terms: 20 + 4a + 5a = 0 Combine like terms: 4a + 5a = 9a 20 + 9a = 0 Solving 20 + 9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 9a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 9a = 0 + -20 9a = 0 + -20 Combine like terms: 0 + -20 = -20 9a = -20 Divide each side by '9'. a = -2.222222222 Simplifying a = -2.222222222
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