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Simplifying 5a + 6b + 7a = 0 Reorder the terms: 5a + 7a + 6b = 0 Combine like terms: 5a + 7a = 12a 12a + 6b = 0 Solving 12a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 12a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 12a + 0 = 0 + -6b 12a = 0 + -6b Remove the zero: 12a = -6b Divide each side by '12'. a = -0.5b Simplifying a = -0.5b
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