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Simplifying (3a + 5b) + -1(2a + -4b) = 0 Remove parenthesis around (3a + 5b) 3a + 5b + -1(2a + -4b) = 0 3a + 5b + (2a * -1 + -4b * -1) = 0 3a + 5b + (-2a + 4b) = 0 Reorder the terms: 3a + -2a + 5b + 4b = 0 Combine like terms: 3a + -2a = 1a 1a + 5b + 4b = 0 Combine like terms: 5b + 4b = 9b 1a + 9b = 0 Solving 1a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 1a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 1a + 0 = 0 + -9b 1a = 0 + -9b Remove the zero: 1a = -9b Divide each side by '1'. a = -9b Simplifying a = -9b
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