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Simplifying (4a + -2b) + (5a + -6b) = 0 Remove parenthesis around (4a + -2b) 4a + -2b + (5a + -6b) = 0 Remove parenthesis around (5a + -6b) 4a + -2b + 5a + -6b = 0 Reorder the terms: 4a + 5a + -2b + -6b = 0 Combine like terms: 4a + 5a = 9a 9a + -2b + -6b = 0 Combine like terms: -2b + -6b = -8b 9a + -8b = 0 Solving 9a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. 9a + -8b + 8b = 0 + 8b Combine like terms: -8b + 8b = 0 9a + 0 = 0 + 8b 9a = 0 + 8b Remove the zero: 9a = 8b Divide each side by '9'. a = 0.8888888889b Simplifying a = 0.8888888889b
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