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Simplifying 4(5a + 2) = -1(4 + -3a) Reorder the terms: 4(2 + 5a) = -1(4 + -3a) (2 * 4 + 5a * 4) = -1(4 + -3a) (8 + 20a) = -1(4 + -3a) 8 + 20a = (4 * -1 + -3a * -1) 8 + 20a = (-4 + 3a) Solving 8 + 20a = -4 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 8 + 20a + -3a = -4 + 3a + -3a Combine like terms: 20a + -3a = 17a 8 + 17a = -4 + 3a + -3a Combine like terms: 3a + -3a = 0 8 + 17a = -4 + 0 8 + 17a = -4 Add '-8' to each side of the equation. 8 + -8 + 17a = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 17a = -4 + -8 17a = -4 + -8 Combine like terms: -4 + -8 = -12 17a = -12 Divide each side by '17'. a = -0.7058823529 Simplifying a = -0.7058823529
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