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Simplifying -2(-2 + -4a) = 5(a + -4) (-2 * -2 + -4a * -2) = 5(a + -4) (4 + 8a) = 5(a + -4) Reorder the terms: 4 + 8a = 5(-4 + a) 4 + 8a = (-4 * 5 + a * 5) 4 + 8a = (-20 + 5a) Solving 4 + 8a = -20 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 4 + 8a + -5a = -20 + 5a + -5a Combine like terms: 8a + -5a = 3a 4 + 3a = -20 + 5a + -5a Combine like terms: 5a + -5a = 0 4 + 3a = -20 + 0 4 + 3a = -20 Add '-4' to each side of the equation. 4 + -4 + 3a = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 3a = -20 + -4 3a = -20 + -4 Combine like terms: -20 + -4 = -24 3a = -24 Divide each side by '3'. a = -8 Simplifying a = -8
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