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Simplifying -7a + 5 + 8a = 12 + -21 Reorder the terms: 5 + -7a + 8a = 12 + -21 Combine like terms: -7a + 8a = 1a 5 + 1a = 12 + -21 Combine like terms: 12 + -21 = -9 5 + 1a = -9 Solving 5 + 1a = -9 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 = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 1a = -9 + -5 1a = -9 + -5 Combine like terms: -9 + -5 = -14 1a = -14 Divide each side by '1'. a = -14 Simplifying a = -14
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