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Simplifying -2(-4a + 9) = -74 Reorder the terms: -2(9 + -4a) = -74 (9 * -2 + -4a * -2) = -74 (-18 + 8a) = -74 Solving -18 + 8a = -74 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8a = -74 + 18 Combine like terms: -18 + 18 = 0 0 + 8a = -74 + 18 8a = -74 + 18 Combine like terms: -74 + 18 = -56 8a = -56 Divide each side by '8'. a = -7 Simplifying a = -7
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