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Simplifying 2(4 + -4a) = (3a + 5) (4 * 2 + -4a * 2) = (3a + 5) (8 + -8a) = (3a + 5) Reorder the terms: 8 + -8a = (5 + 3a) Remove parenthesis around (5 + 3a) 8 + -8a = 5 + 3a Solving 8 + -8a = 5 + 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 + -8a + -3a = 5 + 3a + -3a Combine like terms: -8a + -3a = -11a 8 + -11a = 5 + 3a + -3a Combine like terms: 3a + -3a = 0 8 + -11a = 5 + 0 8 + -11a = 5 Add '-8' to each side of the equation. 8 + -8 + -11a = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -11a = 5 + -8 -11a = 5 + -8 Combine like terms: 5 + -8 = -3 -11a = -3 Divide each side by '-11'. a = 0.2727272727 Simplifying a = 0.2727272727
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