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Simplifying 3(4 + -5a) + -2(5 + -4a) = 0 (4 * 3 + -5a * 3) + -2(5 + -4a) = 0 (12 + -15a) + -2(5 + -4a) = 0 12 + -15a + (5 * -2 + -4a * -2) = 0 12 + -15a + (-10 + 8a) = 0 Reorder the terms: 12 + -10 + -15a + 8a = 0 Combine like terms: 12 + -10 = 2 2 + -15a + 8a = 0 Combine like terms: -15a + 8a = -7a 2 + -7a = 0 Solving 2 + -7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7a = 0 + -2 -7a = 0 + -2 Combine like terms: 0 + -2 = -2 -7a = -2 Divide each side by '-7'. a = 0.2857142857 Simplifying a = 0.2857142857
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