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Simplifying 2a + 3b + -5b + 7a = 0 Reorder the terms: 2a + 7a + 3b + -5b = 0 Combine like terms: 2a + 7a = 9a 9a + 3b + -5b = 0 Combine like terms: 3b + -5b = -2b 9a + -2b = 0 Solving 9a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 9a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 9a + 0 = 0 + 2b 9a = 0 + 2b Remove the zero: 9a = 2b Divide each side by '9'. a = 0.2222222222b Simplifying a = 0.2222222222b
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