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Simplifying (4a + -9b) + (6a + -4b) = 0 Remove parenthesis around (4a + -9b) 4a + -9b + (6a + -4b) = 0 Remove parenthesis around (6a + -4b) 4a + -9b + 6a + -4b = 0 Reorder the terms: 4a + 6a + -9b + -4b = 0 Combine like terms: 4a + 6a = 10a 10a + -9b + -4b = 0 Combine like terms: -9b + -4b = -13b 10a + -13b = 0 Solving 10a + -13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13b' to each side of the equation. 10a + -13b + 13b = 0 + 13b Combine like terms: -13b + 13b = 0 10a + 0 = 0 + 13b 10a = 0 + 13b Remove the zero: 10a = 13b Divide each side by '10'. a = 1.3b Simplifying a = 1.3b
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