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Simplifying 10a + 1 = 8a + 9 Reorder the terms: 1 + 10a = 8a + 9 Reorder the terms: 1 + 10a = 9 + 8a Solving 1 + 10a = 9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 1 + 10a + -8a = 9 + 8a + -8a Combine like terms: 10a + -8a = 2a 1 + 2a = 9 + 8a + -8a Combine like terms: 8a + -8a = 0 1 + 2a = 9 + 0 1 + 2a = 9 Add '-1' to each side of the equation. 1 + -1 + 2a = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 9 + -1 2a = 9 + -1 Combine like terms: 9 + -1 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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