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Simplifying a + 81 = 9a + -7 Reorder the terms: 81 + a = 9a + -7 Reorder the terms: 81 + a = -7 + 9a Solving 81 + a = -7 + 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 = -7 + 9a + -9a Combine like terms: a + -9a = -8a 81 + -8a = -7 + 9a + -9a Combine like terms: 9a + -9a = 0 81 + -8a = -7 + 0 81 + -8a = -7 Add '-81' to each side of the equation. 81 + -81 + -8a = -7 + -81 Combine like terms: 81 + -81 = 0 0 + -8a = -7 + -81 -8a = -7 + -81 Combine like terms: -7 + -81 = -88 -8a = -88 Divide each side by '-8'. a = 11 Simplifying a = 11
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