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Simplifying 2a + -1b = 8b + -4a Reorder the terms: 2a + -1b = -4a + 8b Solving 2a + -1b = -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 + -1b = -4a + 4a + 8b Combine like terms: 2a + 4a = 6a 6a + -1b = -4a + 4a + 8b Combine like terms: -4a + 4a = 0 6a + -1b = 0 + 8b 6a + -1b = 8b Add 'b' to each side of the equation. 6a + -1b + b = 8b + b Combine like terms: -1b + b = 0 6a + 0 = 8b + b 6a = 8b + b Combine like terms: 8b + b = 9b 6a = 9b Divide each side by '6'. a = 1.5b Simplifying a = 1.5b
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