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Simplifying 3a + 5b = 7b + -6a Reorder the terms: 3a + 5b = -6a + 7b Solving 3a + 5b = -6a + 7b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 3a + 6a + 5b = -6a + 6a + 7b Combine like terms: 3a + 6a = 9a 9a + 5b = -6a + 6a + 7b Combine like terms: -6a + 6a = 0 9a + 5b = 0 + 7b 9a + 5b = 7b Add '-5b' to each side of the equation. 9a + 5b + -5b = 7b + -5b Combine like terms: 5b + -5b = 0 9a + 0 = 7b + -5b 9a = 7b + -5b Combine like terms: 7b + -5b = 2b 9a = 2b Divide each side by '9'. a = 0.2222222222b Simplifying a = 0.2222222222b
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