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Simplifying 5(4 + 4a) + 8 = -20 + 8a (4 * 5 + 4a * 5) + 8 = -20 + 8a (20 + 20a) + 8 = -20 + 8a Reorder the terms: 20 + 8 + 20a = -20 + 8a Combine like terms: 20 + 8 = 28 28 + 20a = -20 + 8a Solving 28 + 20a = -20 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 28 + 20a + -8a = -20 + 8a + -8a Combine like terms: 20a + -8a = 12a 28 + 12a = -20 + 8a + -8a Combine like terms: 8a + -8a = 0 28 + 12a = -20 + 0 28 + 12a = -20 Add '-28' to each side of the equation. 28 + -28 + 12a = -20 + -28 Combine like terms: 28 + -28 = 0 0 + 12a = -20 + -28 12a = -20 + -28 Combine like terms: -20 + -28 = -48 12a = -48 Divide each side by '12'. a = -4 Simplifying a = -4
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