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Simplifying 5(2a + 1) + -9a = 8 + -4 Reorder the terms: 5(1 + 2a) + -9a = 8 + -4 (1 * 5 + 2a * 5) + -9a = 8 + -4 (5 + 10a) + -9a = 8 + -4 Combine like terms: 10a + -9a = 1a 5 + 1a = 8 + -4 Combine like terms: 8 + -4 = 4 5 + 1a = 4 Solving 5 + 1a = 4 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 = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 1a = 4 + -5 1a = 4 + -5 Combine like terms: 4 + -5 = -1 1a = -1 Divide each side by '1'. a = -1 Simplifying a = -1
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