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Simplifying 18a + 31b + 14a + 2b = 0 Reorder the terms: 18a + 14a + 31b + 2b = 0 Combine like terms: 18a + 14a = 32a 32a + 31b + 2b = 0 Combine like terms: 31b + 2b = 33b 32a + 33b = 0 Solving 32a + 33b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-33b' to each side of the equation. 32a + 33b + -33b = 0 + -33b Combine like terms: 33b + -33b = 0 32a + 0 = 0 + -33b 32a = 0 + -33b Remove the zero: 32a = -33b Divide each side by '32'. a = -1.03125b Simplifying a = -1.03125b
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