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Simplifying 81 = 9(5a + -1) Reorder the terms: 81 = 9(-1 + 5a) 81 = (-1 * 9 + 5a * 9) 81 = (-9 + 45a) Solving 81 = -9 + 45a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45a' to each side of the equation. 81 + -45a = -9 + 45a + -45a Combine like terms: 45a + -45a = 0 81 + -45a = -9 + 0 81 + -45a = -9 Add '-81' to each side of the equation. 81 + -81 + -45a = -9 + -81 Combine like terms: 81 + -81 = 0 0 + -45a = -9 + -81 -45a = -9 + -81 Combine like terms: -9 + -81 = -90 -45a = -90 Divide each side by '-45'. a = 2 Simplifying a = 2
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