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Simplifying 81 = -5(1 + -8a) + 3a 81 = (1 * -5 + -8a * -5) + 3a 81 = (-5 + 40a) + 3a Combine like terms: 40a + 3a = 43a 81 = -5 + 43a Solving 81 = -5 + 43a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-43a' to each side of the equation. 81 + -43a = -5 + 43a + -43a Combine like terms: 43a + -43a = 0 81 + -43a = -5 + 0 81 + -43a = -5 Add '-81' to each side of the equation. 81 + -81 + -43a = -5 + -81 Combine like terms: 81 + -81 = 0 0 + -43a = -5 + -81 -43a = -5 + -81 Combine like terms: -5 + -81 = -86 -43a = -86 Divide each side by '-43'. a = 2 Simplifying a = 2
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