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Simplifying 5(8 + -1a) + 6 = -2 (8 * 5 + -1a * 5) + 6 = -2 (40 + -5a) + 6 = -2 Reorder the terms: 40 + 6 + -5a = -2 Combine like terms: 40 + 6 = 46 46 + -5a = -2 Solving 46 + -5a = -2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -5a = -2 + -46 Combine like terms: 46 + -46 = 0 0 + -5a = -2 + -46 -5a = -2 + -46 Combine like terms: -2 + -46 = -48 -5a = -48 Divide each side by '-5'. a = 9.6 Simplifying a = 9.6
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