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Simplifying 8a + 6a + 29 = 5 + 9a + 9 Reorder the terms: 29 + 8a + 6a = 5 + 9a + 9 Combine like terms: 8a + 6a = 14a 29 + 14a = 5 + 9a + 9 Reorder the terms: 29 + 14a = 5 + 9 + 9a Combine like terms: 5 + 9 = 14 29 + 14a = 14 + 9a Solving 29 + 14a = 14 + 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. 29 + 14a + -9a = 14 + 9a + -9a Combine like terms: 14a + -9a = 5a 29 + 5a = 14 + 9a + -9a Combine like terms: 9a + -9a = 0 29 + 5a = 14 + 0 29 + 5a = 14 Add '-29' to each side of the equation. 29 + -29 + 5a = 14 + -29 Combine like terms: 29 + -29 = 0 0 + 5a = 14 + -29 5a = 14 + -29 Combine like terms: 14 + -29 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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