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Simplifying 5a + -81 = 3a + -41 Reorder the terms: -81 + 5a = 3a + -41 Reorder the terms: -81 + 5a = -41 + 3a Solving -81 + 5a = -41 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -81 + 5a + -3a = -41 + 3a + -3a Combine like terms: 5a + -3a = 2a -81 + 2a = -41 + 3a + -3a Combine like terms: 3a + -3a = 0 -81 + 2a = -41 + 0 -81 + 2a = -41 Add '81' to each side of the equation. -81 + 81 + 2a = -41 + 81 Combine like terms: -81 + 81 = 0 0 + 2a = -41 + 81 2a = -41 + 81 Combine like terms: -41 + 81 = 40 2a = 40 Divide each side by '2'. a = 20 Simplifying a = 20
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