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Simplifying 14a + b + -12a + 19b = 0 Reorder the terms: 14a + -12a + b + 19b = 0 Combine like terms: 14a + -12a = 2a 2a + b + 19b = 0 Combine like terms: b + 19b = 20b 2a + 20b = 0 Solving 2a + 20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20b' to each side of the equation. 2a + 20b + -20b = 0 + -20b Combine like terms: 20b + -20b = 0 2a + 0 = 0 + -20b 2a = 0 + -20b Remove the zero: 2a = -20b Divide each side by '2'. a = -10b Simplifying a = -10b
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