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Simplifying 2(1 + -1a) + -8a = 82 (1 * 2 + -1a * 2) + -8a = 82 (2 + -2a) + -8a = 82 Combine like terms: -2a + -8a = -10a 2 + -10a = 82 Solving 2 + -10a = 82 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -10a = 82 + -2 Combine like terms: 2 + -2 = 0 0 + -10a = 82 + -2 -10a = 82 + -2 Combine like terms: 82 + -2 = 80 -10a = 80 Divide each side by '-10'. a = -8 Simplifying a = -8
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