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Simplifying (5a + 9b) + -1(2a + 4b) = 0 Remove parenthesis around (5a + 9b) 5a + 9b + -1(2a + 4b) = 0 5a + 9b + (2a * -1 + 4b * -1) = 0 5a + 9b + (-2a + -4b) = 0 Reorder the terms: 5a + -2a + 9b + -4b = 0 Combine like terms: 5a + -2a = 3a 3a + 9b + -4b = 0 Combine like terms: 9b + -4b = 5b 3a + 5b = 0 Solving 3a + 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. 3a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 3a + 0 = 0 + -5b 3a = 0 + -5b Remove the zero: 3a = -5b Divide each side by '3'. a = -1.666666667b Simplifying a = -1.666666667b
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