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Simplifying 6a + -1(-5a + 5) = -82 Reorder the terms: 6a + -1(5 + -5a) = -82 6a + (5 * -1 + -5a * -1) = -82 6a + (-5 + 5a) = -82 Reorder the terms: -5 + 6a + 5a = -82 Combine like terms: 6a + 5a = 11a -5 + 11a = -82 Solving -5 + 11a = -82 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 + 11a = -82 + 5 Combine like terms: -5 + 5 = 0 0 + 11a = -82 + 5 11a = -82 + 5 Combine like terms: -82 + 5 = -77 11a = -77 Divide each side by '11'. a = -7 Simplifying a = -7
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