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Simplifying 6(a + 12) + -5a + 11 = 0 Reorder the terms: 6(12 + a) + -5a + 11 = 0 (12 * 6 + a * 6) + -5a + 11 = 0 (72 + 6a) + -5a + 11 = 0 Reorder the terms: 72 + 11 + 6a + -5a = 0 Combine like terms: 72 + 11 = 83 83 + 6a + -5a = 0 Combine like terms: 6a + -5a = 1a 83 + 1a = 0 Solving 83 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-83' to each side of the equation. 83 + -83 + 1a = 0 + -83 Combine like terms: 83 + -83 = 0 0 + 1a = 0 + -83 1a = 0 + -83 Combine like terms: 0 + -83 = -83 1a = -83 Divide each side by '1'. a = -83 Simplifying a = -83
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