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Simplifying 2(-4a + 5) = 74 Reorder the terms: 2(5 + -4a) = 74 (5 * 2 + -4a * 2) = 74 (10 + -8a) = 74 Solving 10 + -8a = 74 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -8a = 74 + -10 Combine like terms: 10 + -10 = 0 0 + -8a = 74 + -10 -8a = 74 + -10 Combine like terms: 74 + -10 = 64 -8a = 64 Divide each side by '-8'. a = -8 Simplifying a = -8
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