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Simplifying 6a + 27 + 3a = 32 + -9a + 3 Reorder the terms: 27 + 6a + 3a = 32 + -9a + 3 Combine like terms: 6a + 3a = 9a 27 + 9a = 32 + -9a + 3 Reorder the terms: 27 + 9a = 32 + 3 + -9a Combine like terms: 32 + 3 = 35 27 + 9a = 35 + -9a Solving 27 + 9a = 35 + -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. 27 + 9a + 9a = 35 + -9a + 9a Combine like terms: 9a + 9a = 18a 27 + 18a = 35 + -9a + 9a Combine like terms: -9a + 9a = 0 27 + 18a = 35 + 0 27 + 18a = 35 Add '-27' to each side of the equation. 27 + -27 + 18a = 35 + -27 Combine like terms: 27 + -27 = 0 0 + 18a = 35 + -27 18a = 35 + -27 Combine like terms: 35 + -27 = 8 18a = 8 Divide each side by '18'. a = 0.4444444444 Simplifying a = 0.4444444444
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