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Simplifying 8(-2a + -5) + 6 = -82 Reorder the terms: 8(-5 + -2a) + 6 = -82 (-5 * 8 + -2a * 8) + 6 = -82 (-40 + -16a) + 6 = -82 Reorder the terms: -40 + 6 + -16a = -82 Combine like terms: -40 + 6 = -34 -34 + -16a = -82 Solving -34 + -16a = -82 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -16a = -82 + 34 Combine like terms: -34 + 34 = 0 0 + -16a = -82 + 34 -16a = -82 + 34 Combine like terms: -82 + 34 = -48 -16a = -48 Divide each side by '-16'. a = 3 Simplifying a = 3
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