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Simplifying 6b + 5a = 7b + -2a + 3 Reorder the terms: 5a + 6b = 7b + -2a + 3 Reorder the terms: 5a + 6b = 3 + -2a + 7b Solving 5a + 6b = 3 + -2a + 7b 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. 5a + 2a + 6b = 3 + -2a + 2a + 7b Combine like terms: 5a + 2a = 7a 7a + 6b = 3 + -2a + 2a + 7b Combine like terms: -2a + 2a = 0 7a + 6b = 3 + 0 + 7b 7a + 6b = 3 + 7b Add '-6b' to each side of the equation. 7a + 6b + -6b = 3 + 7b + -6b Combine like terms: 6b + -6b = 0 7a + 0 = 3 + 7b + -6b 7a = 3 + 7b + -6b Combine like terms: 7b + -6b = 1b 7a = 3 + 1b Divide each side by '7'. a = 0.4285714286 + 0.1428571429b Simplifying a = 0.4285714286 + 0.1428571429b
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