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