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Simplifying 7a + -3b + 5a + 6b = 0 Reorder the terms: 7a + 5a + -3b + 6b = 0 Combine like terms: 7a + 5a = 12a 12a + -3b + 6b = 0 Combine like terms: -3b + 6b = 3b 12a + 3b = 0 Solving 12a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 12a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 12a + 0 = 0 + -3b 12a = 0 + -3b Remove the zero: 12a = -3b Divide each side by '12'. a = -0.25b Simplifying a = -0.25b
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