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Simplifying -81 = -2(-5 + 6a) + -7 -81 = (-5 * -2 + 6a * -2) + -7 -81 = (10 + -12a) + -7 Reorder the terms: -81 = 10 + -7 + -12a Combine like terms: 10 + -7 = 3 -81 = 3 + -12a Solving -81 = 3 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -81 + 12a = 3 + -12a + 12a Combine like terms: -12a + 12a = 0 -81 + 12a = 3 + 0 -81 + 12a = 3 Add '81' to each side of the equation. -81 + 81 + 12a = 3 + 81 Combine like terms: -81 + 81 = 0 0 + 12a = 3 + 81 12a = 3 + 81 Combine like terms: 3 + 81 = 84 12a = 84 Divide each side by '12'. a = 7 Simplifying a = 7
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