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Simplifying -82 = -5a + 2(-8 + -3a) -82 = -5a + (-8 * 2 + -3a * 2) -82 = -5a + (-16 + -6a) Reorder the terms: -82 = -16 + -5a + -6a Combine like terms: -5a + -6a = -11a -82 = -16 + -11a Solving -82 = -16 + -11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11a' to each side of the equation. -82 + 11a = -16 + -11a + 11a Combine like terms: -11a + 11a = 0 -82 + 11a = -16 + 0 -82 + 11a = -16 Add '82' to each side of the equation. -82 + 82 + 11a = -16 + 82 Combine like terms: -82 + 82 = 0 0 + 11a = -16 + 82 11a = -16 + 82 Combine like terms: -16 + 82 = 66 11a = 66 Divide each side by '11'. a = 6 Simplifying a = 6
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