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Simplifying 4(4a + 5) + -2(3a + -2) = 0 Reorder the terms: 4(5 + 4a) + -2(3a + -2) = 0 (5 * 4 + 4a * 4) + -2(3a + -2) = 0 (20 + 16a) + -2(3a + -2) = 0 Reorder the terms: 20 + 16a + -2(-2 + 3a) = 0 20 + 16a + (-2 * -2 + 3a * -2) = 0 20 + 16a + (4 + -6a) = 0 Reorder the terms: 20 + 4 + 16a + -6a = 0 Combine like terms: 20 + 4 = 24 24 + 16a + -6a = 0 Combine like terms: 16a + -6a = 10a 24 + 10a = 0 Solving 24 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 10a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 10a = 0 + -24 10a = 0 + -24 Combine like terms: 0 + -24 = -24 10a = -24 Divide each side by '10'. a = -2.4 Simplifying a = -2.4
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