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Simplifying 6a + -4b = 6b + 2a Reorder the terms: 6a + -4b = 2a + 6b Solving 6a + -4b = 2a + 6b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 6a + -2a + -4b = 2a + -2a + 6b Combine like terms: 6a + -2a = 4a 4a + -4b = 2a + -2a + 6b Combine like terms: 2a + -2a = 0 4a + -4b = 0 + 6b 4a + -4b = 6b Add '4b' to each side of the equation. 4a + -4b + 4b = 6b + 4b Combine like terms: -4b + 4b = 0 4a + 0 = 6b + 4b 4a = 6b + 4b Combine like terms: 6b + 4b = 10b 4a = 10b Divide each side by '4'. a = 2.5b Simplifying a = 2.5b
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