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Simplifying 5a + 6b + -3a + b = 0 Reorder the terms: 5a + -3a + 6b + b = 0 Combine like terms: 5a + -3a = 2a 2a + 6b + b = 0 Combine like terms: 6b + b = 7b 2a + 7b = 0 Solving 2a + 7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 2a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 2a + 0 = 0 + -7b 2a = 0 + -7b Remove the zero: 2a = -7b Divide each side by '2'. a = -3.5b Simplifying a = -3.5b
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