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Simplifying (-3a + 9b) + -1(-6a + 7b) = 0 Remove parenthesis around (-3a + 9b) -3a + 9b + -1(-6a + 7b) = 0 -3a + 9b + (-6a * -1 + 7b * -1) = 0 -3a + 9b + (6a + -7b) = 0 Reorder the terms: -3a + 6a + 9b + -7b = 0 Combine like terms: -3a + 6a = 3a 3a + 9b + -7b = 0 Combine like terms: 9b + -7b = 2b 3a + 2b = 0 Solving 3a + 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. 3a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 3a + 0 = 0 + -2b 3a = 0 + -2b Remove the zero: 3a = -2b Divide each side by '3'. a = -0.6666666667b Simplifying a = -0.6666666667b
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