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Simplifying -4(-8a + -5) = -8 + 4a Reorder the terms: -4(-5 + -8a) = -8 + 4a (-5 * -4 + -8a * -4) = -8 + 4a (20 + 32a) = -8 + 4a Solving 20 + 32a = -8 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 20 + 32a + -4a = -8 + 4a + -4a Combine like terms: 32a + -4a = 28a 20 + 28a = -8 + 4a + -4a Combine like terms: 4a + -4a = 0 20 + 28a = -8 + 0 20 + 28a = -8 Add '-20' to each side of the equation. 20 + -20 + 28a = -8 + -20 Combine like terms: 20 + -20 = 0 0 + 28a = -8 + -20 28a = -8 + -20 Combine like terms: -8 + -20 = -28 28a = -28 Divide each side by '28'. a = -1 Simplifying a = -1
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