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Simplifying (-5a + -7b) + -1(-7a + -9b) = 0 Remove parenthesis around (-5a + -7b) -5a + -7b + -1(-7a + -9b) = 0 -5a + -7b + (-7a * -1 + -9b * -1) = 0 -5a + -7b + (7a + 9b) = 0 Reorder the terms: -5a + 7a + -7b + 9b = 0 Combine like terms: -5a + 7a = 2a 2a + -7b + 9b = 0 Combine like terms: -7b + 9b = 2b 2a + 2b = 0 Solving 2a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 2a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 2a + 0 = 0 + -2b 2a = 0 + -2b Remove the zero: 2a = -2b Divide each side by '2'. a = -1b Simplifying a = -1b
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