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Simplifying 2a + -4b = 8b + -4a Reorder the terms: 2a + -4b = -4a + 8b Solving 2a + -4b = -4a + 8b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 2a + 4a + -4b = -4a + 4a + 8b Combine like terms: 2a + 4a = 6a 6a + -4b = -4a + 4a + 8b Combine like terms: -4a + 4a = 0 6a + -4b = 0 + 8b 6a + -4b = 8b Add '4b' to each side of the equation. 6a + -4b + 4b = 8b + 4b Combine like terms: -4b + 4b = 0 6a + 0 = 8b + 4b 6a = 8b + 4b Combine like terms: 8b + 4b = 12b 6a = 12b Divide each side by '6'. a = 2b Simplifying a = 2b
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