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Simplifying 8(a + 3) + 5(2 + -1a) = 0 Reorder the terms: 8(3 + a) + 5(2 + -1a) = 0 (3 * 8 + a * 8) + 5(2 + -1a) = 0 (24 + 8a) + 5(2 + -1a) = 0 24 + 8a + (2 * 5 + -1a * 5) = 0 24 + 8a + (10 + -5a) = 0 Reorder the terms: 24 + 10 + 8a + -5a = 0 Combine like terms: 24 + 10 = 34 34 + 8a + -5a = 0 Combine like terms: 8a + -5a = 3a 34 + 3a = 0 Solving 34 + 3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 3a = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 3a = 0 + -34 3a = 0 + -34 Combine like terms: 0 + -34 = -34 3a = -34 Divide each side by '3'. a = -11.33333333 Simplifying a = -11.33333333
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