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Simplifying 12a + 3b + -5a + -6b = 0 Reorder the terms: 12a + -5a + 3b + -6b = 0 Combine like terms: 12a + -5a = 7a 7a + 3b + -6b = 0 Combine like terms: 3b + -6b = -3b 7a + -3b = 0 Solving 7a + -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. 7a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 7a + 0 = 0 + 3b 7a = 0 + 3b Remove the zero: 7a = 3b Divide each side by '7'. a = 0.4285714286b Simplifying a = 0.4285714286b
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