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Simplifying 4(5a + 2) = -1(4 + -3a) + -8a Reorder the terms: 4(2 + 5a) = -1(4 + -3a) + -8a (2 * 4 + 5a * 4) = -1(4 + -3a) + -8a (8 + 20a) = -1(4 + -3a) + -8a 8 + 20a = (4 * -1 + -3a * -1) + -8a 8 + 20a = (-4 + 3a) + -8a Combine like terms: 3a + -8a = -5a 8 + 20a = -4 + -5a Solving 8 + 20a = -4 + -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. 8 + 20a + 5a = -4 + -5a + 5a Combine like terms: 20a + 5a = 25a 8 + 25a = -4 + -5a + 5a Combine like terms: -5a + 5a = 0 8 + 25a = -4 + 0 8 + 25a = -4 Add '-8' to each side of the equation. 8 + -8 + 25a = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 25a = -4 + -8 25a = -4 + -8 Combine like terms: -4 + -8 = -12 25a = -12 Divide each side by '25'. a = -0.48 Simplifying a = -0.48
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