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Simplifying 5a + 2b + a + 3b + 2a + 6b = 0 Reorder the terms: 5a + a + 2a + 2b + 3b + 6b = 0 Combine like terms: 5a + a = 6a 6a + 2a + 2b + 3b + 6b = 0 Combine like terms: 6a + 2a = 8a 8a + 2b + 3b + 6b = 0 Combine like terms: 2b + 3b = 5b 8a + 5b + 6b = 0 Combine like terms: 5b + 6b = 11b 8a + 11b = 0 Solving 8a + 11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 8a + 11b + -11b = 0 + -11b Combine like terms: 11b + -11b = 0 8a + 0 = 0 + -11b 8a = 0 + -11b Remove the zero: 8a = -11b Divide each side by '8'. a = -1.375b Simplifying a = -1.375b
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