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Simplifying 4(2a + 5) + 5(a + -2) = 0 Reorder the terms: 4(5 + 2a) + 5(a + -2) = 0 (5 * 4 + 2a * 4) + 5(a + -2) = 0 (20 + 8a) + 5(a + -2) = 0 Reorder the terms: 20 + 8a + 5(-2 + a) = 0 20 + 8a + (-2 * 5 + a * 5) = 0 20 + 8a + (-10 + 5a) = 0 Reorder the terms: 20 + -10 + 8a + 5a = 0 Combine like terms: 20 + -10 = 10 10 + 8a + 5a = 0 Combine like terms: 8a + 5a = 13a 10 + 13a = 0 Solving 10 + 13a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 13a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 13a = 0 + -10 13a = 0 + -10 Combine like terms: 0 + -10 = -10 13a = -10 Divide each side by '13'. a = -0.7692307692 Simplifying a = -0.7692307692
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