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Simplifying 5(2a + 1) + -9a = 8 + -6 Reorder the terms: 5(1 + 2a) + -9a = 8 + -6 (1 * 5 + 2a * 5) + -9a = 8 + -6 (5 + 10a) + -9a = 8 + -6 Combine like terms: 10a + -9a = 1a 5 + 1a = 8 + -6 Combine like terms: 8 + -6 = 2 5 + 1a = 2 Solving 5 + 1a = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1a = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1a = 2 + -5 1a = 2 + -5 Combine like terms: 2 + -5 = -3 1a = -3 Divide each side by '1'. a = -3 Simplifying a = -3
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