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Simplifying 12a + b + 3a + 5b = 0 Reorder the terms: 12a + 3a + b + 5b = 0 Combine like terms: 12a + 3a = 15a 15a + b + 5b = 0 Combine like terms: b + 5b = 6b 15a + 6b = 0 Solving 15a + 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. 15a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 15a + 0 = 0 + -6b 15a = 0 + -6b Remove the zero: 15a = -6b Divide each side by '15'. a = -0.4b Simplifying a = -0.4b
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