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Simplifying 4(a + 4) + 5(a + 1) = 0 Reorder the terms: 4(4 + a) + 5(a + 1) = 0 (4 * 4 + a * 4) + 5(a + 1) = 0 (16 + 4a) + 5(a + 1) = 0 Reorder the terms: 16 + 4a + 5(1 + a) = 0 16 + 4a + (1 * 5 + a * 5) = 0 16 + 4a + (5 + 5a) = 0 Reorder the terms: 16 + 5 + 4a + 5a = 0 Combine like terms: 16 + 5 = 21 21 + 4a + 5a = 0 Combine like terms: 4a + 5a = 9a 21 + 9a = 0 Solving 21 + 9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 9a = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 9a = 0 + -21 9a = 0 + -21 Combine like terms: 0 + -21 = -21 9a = -21 Divide each side by '9'. a = -2.333333333 Simplifying a = -2.333333333
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