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Simplifying a + -81 = 9a + 11 Reorder the terms: -81 + a = 9a + 11 Reorder the terms: -81 + a = 11 + 9a Solving -81 + a = 11 + 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. -81 + a + -9a = 11 + 9a + -9a Combine like terms: a + -9a = -8a -81 + -8a = 11 + 9a + -9a Combine like terms: 9a + -9a = 0 -81 + -8a = 11 + 0 -81 + -8a = 11 Add '81' to each side of the equation. -81 + 81 + -8a = 11 + 81 Combine like terms: -81 + 81 = 0 0 + -8a = 11 + 81 -8a = 11 + 81 Combine like terms: 11 + 81 = 92 -8a = 92 Divide each side by '-8'. a = -11.5 Simplifying a = -11.5
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