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Simplifying -3(2a + -4) = 4(5 + -2a) + 8 Reorder the terms: -3(-4 + 2a) = 4(5 + -2a) + 8 (-4 * -3 + 2a * -3) = 4(5 + -2a) + 8 (12 + -6a) = 4(5 + -2a) + 8 12 + -6a = (5 * 4 + -2a * 4) + 8 12 + -6a = (20 + -8a) + 8 Reorder the terms: 12 + -6a = 20 + 8 + -8a Combine like terms: 20 + 8 = 28 12 + -6a = 28 + -8a Solving 12 + -6a = 28 + -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. 12 + -6a + 8a = 28 + -8a + 8a Combine like terms: -6a + 8a = 2a 12 + 2a = 28 + -8a + 8a Combine like terms: -8a + 8a = 0 12 + 2a = 28 + 0 12 + 2a = 28 Add '-12' to each side of the equation. 12 + -12 + 2a = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = 28 + -12 2a = 28 + -12 Combine like terms: 28 + -12 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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