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Simplifying 4(3 + a) + 20(a + 10) = 0 (3 * 4 + a * 4) + 20(a + 10) = 0 (12 + 4a) + 20(a + 10) = 0 Reorder the terms: 12 + 4a + 20(10 + a) = 0 12 + 4a + (10 * 20 + a * 20) = 0 12 + 4a + (200 + 20a) = 0 Reorder the terms: 12 + 200 + 4a + 20a = 0 Combine like terms: 12 + 200 = 212 212 + 4a + 20a = 0 Combine like terms: 4a + 20a = 24a 212 + 24a = 0 Solving 212 + 24a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-212' to each side of the equation. 212 + -212 + 24a = 0 + -212 Combine like terms: 212 + -212 = 0 0 + 24a = 0 + -212 24a = 0 + -212 Combine like terms: 0 + -212 = -212 24a = -212 Divide each side by '24'. a = -8.833333333 Simplifying a = -8.833333333
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