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Simplifying 9a + 9 + 2a = 5a + 30 + -1a Reorder the terms: 9 + 9a + 2a = 5a + 30 + -1a Combine like terms: 9a + 2a = 11a 9 + 11a = 5a + 30 + -1a Reorder the terms: 9 + 11a = 30 + 5a + -1a Combine like terms: 5a + -1a = 4a 9 + 11a = 30 + 4a Solving 9 + 11a = 30 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 9 + 11a + -4a = 30 + 4a + -4a Combine like terms: 11a + -4a = 7a 9 + 7a = 30 + 4a + -4a Combine like terms: 4a + -4a = 0 9 + 7a = 30 + 0 9 + 7a = 30 Add '-9' to each side of the equation. 9 + -9 + 7a = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 7a = 30 + -9 7a = 30 + -9 Combine like terms: 30 + -9 = 21 7a = 21 Divide each side by '7'. a = 3 Simplifying a = 3
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