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Simplifying -3a + 5(8a + 4) = 8a + -9 Reorder the terms: -3a + 5(4 + 8a) = 8a + -9 -3a + (4 * 5 + 8a * 5) = 8a + -9 -3a + (20 + 40a) = 8a + -9 Reorder the terms: 20 + -3a + 40a = 8a + -9 Combine like terms: -3a + 40a = 37a 20 + 37a = 8a + -9 Reorder the terms: 20 + 37a = -9 + 8a Solving 20 + 37a = -9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 20 + 37a + -8a = -9 + 8a + -8a Combine like terms: 37a + -8a = 29a 20 + 29a = -9 + 8a + -8a Combine like terms: 8a + -8a = 0 20 + 29a = -9 + 0 20 + 29a = -9 Add '-20' to each side of the equation. 20 + -20 + 29a = -9 + -20 Combine like terms: 20 + -20 = 0 0 + 29a = -9 + -20 29a = -9 + -20 Combine like terms: -9 + -20 = -29 29a = -29 Divide each side by '29'. a = -1 Simplifying a = -1
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