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Simplifying 8(3a + 6) + (5a + -1) = 0 Reorder the terms: 8(6 + 3a) + (5a + -1) = 0 (6 * 8 + 3a * 8) + (5a + -1) = 0 (48 + 24a) + (5a + -1) = 0 Reorder the terms: 48 + 24a + (-1 + 5a) = 0 Remove parenthesis around (-1 + 5a) 48 + 24a + -1 + 5a = 0 Reorder the terms: 48 + -1 + 24a + 5a = 0 Combine like terms: 48 + -1 = 47 47 + 24a + 5a = 0 Combine like terms: 24a + 5a = 29a 47 + 29a = 0 Solving 47 + 29a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 29a = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 29a = 0 + -47 29a = 0 + -47 Combine like terms: 0 + -47 = -47 29a = -47 Divide each side by '29'. a = -1.620689655 Simplifying a = -1.620689655
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