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Simplifying -1(-5a + 6) + 6a = 82 Reorder the terms: -1(6 + -5a) + 6a = 82 (6 * -1 + -5a * -1) + 6a = 82 (-6 + 5a) + 6a = 82 Combine like terms: 5a + 6a = 11a -6 + 11a = 82 Solving -6 + 11a = 82 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 11a = 82 + 6 Combine like terms: -6 + 6 = 0 0 + 11a = 82 + 6 11a = 82 + 6 Combine like terms: 82 + 6 = 88 11a = 88 Divide each side by '11'. a = 8 Simplifying a = 8
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