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Simplifying 6a + 4a + 27 = 9 + 5a + 3 Reorder the terms: 27 + 6a + 4a = 9 + 5a + 3 Combine like terms: 6a + 4a = 10a 27 + 10a = 9 + 5a + 3 Reorder the terms: 27 + 10a = 9 + 3 + 5a Combine like terms: 9 + 3 = 12 27 + 10a = 12 + 5a Solving 27 + 10a = 12 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 27 + 10a + -5a = 12 + 5a + -5a Combine like terms: 10a + -5a = 5a 27 + 5a = 12 + 5a + -5a Combine like terms: 5a + -5a = 0 27 + 5a = 12 + 0 27 + 5a = 12 Add '-27' to each side of the equation. 27 + -27 + 5a = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 5a = 12 + -27 5a = 12 + -27 Combine like terms: 12 + -27 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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