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Simplifying 5a + 9 = 6a + 1 Reorder the terms: 9 + 5a = 6a + 1 Reorder the terms: 9 + 5a = 1 + 6a Solving 9 + 5a = 1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 9 + 5a + -6a = 1 + 6a + -6a Combine like terms: 5a + -6a = -1a 9 + -1a = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 9 + -1a = 1 + 0 9 + -1a = 1 Add '-9' to each side of the equation. 9 + -9 + -1a = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -1a = 1 + -9 -1a = 1 + -9 Combine like terms: 1 + -9 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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