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Simplifying -6a + 5 + 7a = 15 + -27 Reorder the terms: 5 + -6a + 7a = 15 + -27 Combine like terms: -6a + 7a = 1a 5 + 1a = 15 + -27 Combine like terms: 15 + -27 = -12 5 + 1a = -12 Solving 5 + 1a = -12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1a = -12 + -5 Combine like terms: 5 + -5 = 0 0 + 1a = -12 + -5 1a = -12 + -5 Combine like terms: -12 + -5 = -17 1a = -17 Divide each side by '1'. a = -17 Simplifying a = -17
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