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Simplifying 9a + 3a + 1 = 8 + 8a + 5 Reorder the terms: 1 + 9a + 3a = 8 + 8a + 5 Combine like terms: 9a + 3a = 12a 1 + 12a = 8 + 8a + 5 Reorder the terms: 1 + 12a = 8 + 5 + 8a Combine like terms: 8 + 5 = 13 1 + 12a = 13 + 8a Solving 1 + 12a = 13 + 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 + 12a + -8a = 13 + 8a + -8a Combine like terms: 12a + -8a = 4a 1 + 4a = 13 + 8a + -8a Combine like terms: 8a + -8a = 0 1 + 4a = 13 + 0 1 + 4a = 13 Add '-1' to each side of the equation. 1 + -1 + 4a = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = 13 + -1 4a = 13 + -1 Combine like terms: 13 + -1 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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