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Simplifying 10a + 2b + 8a + 7b = 0 Reorder the terms: 10a + 8a + 2b + 7b = 0 Combine like terms: 10a + 8a = 18a 18a + 2b + 7b = 0 Combine like terms: 2b + 7b = 9b 18a + 9b = 0 Solving 18a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 18a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 18a + 0 = 0 + -9b 18a = 0 + -9b Remove the zero: 18a = -9b Divide each side by '18'. a = -0.5b Simplifying a = -0.5b
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