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Simplifying 5a + 7b + 2b + -3a = 0 Reorder the terms: 5a + -3a + 7b + 2b = 0 Combine like terms: 5a + -3a = 2a 2a + 7b + 2b = 0 Combine like terms: 7b + 2b = 9b 2a + 9b = 0 Solving 2a + 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. 2a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 2a + 0 = 0 + -9b 2a = 0 + -9b Remove the zero: 2a = -9b Divide each side by '2'. a = -4.5b Simplifying a = -4.5b
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