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Simplifying (5a + 3b) + (4a + -8b) = 0 Remove parenthesis around (5a + 3b) 5a + 3b + (4a + -8b) = 0 Remove parenthesis around (4a + -8b) 5a + 3b + 4a + -8b = 0 Reorder the terms: 5a + 4a + 3b + -8b = 0 Combine like terms: 5a + 4a = 9a 9a + 3b + -8b = 0 Combine like terms: 3b + -8b = -5b 9a + -5b = 0 Solving 9a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 9a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 9a + 0 = 0 + 5b 9a = 0 + 5b Remove the zero: 9a = 5b Divide each side by '9'. a = 0.5555555556b Simplifying a = 0.5555555556b
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