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Simplifying 24(a + 6) + 24(2a + -1) + 1.24 = 0 Reorder the terms: 24(6 + a) + 24(2a + -1) + 1.24 = 0 (6 * 24 + a * 24) + 24(2a + -1) + 1.24 = 0 (144 + 24a) + 24(2a + -1) + 1.24 = 0 Reorder the terms: 144 + 24a + 24(-1 + 2a) + 1.24 = 0 144 + 24a + (-1 * 24 + 2a * 24) + 1.24 = 0 144 + 24a + (-24 + 48a) + 1.24 = 0 Reorder the terms: 144 + -24 + 1.24 + 24a + 48a = 0 Combine like terms: 144 + -24 = 120 120 + 1.24 + 24a + 48a = 0 Combine like terms: 120 + 1.24 = 121.24 121.24 + 24a + 48a = 0 Combine like terms: 24a + 48a = 72a 121.24 + 72a = 0 Solving 121.24 + 72a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-121.24' to each side of the equation. 121.24 + -121.24 + 72a = 0 + -121.24 Combine like terms: 121.24 + -121.24 = 0.00 0.00 + 72a = 0 + -121.24 72a = 0 + -121.24 Combine like terms: 0 + -121.24 = -121.24 72a = -121.24 Divide each side by '72'. a = -1.683888889 Simplifying a = -1.683888889
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