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Simplifying (-3a + 9b) + -1(-6a + 7b) = -3(a + -2b) Remove parenthesis around (-3a + 9b) -3a + 9b + -1(-6a + 7b) = -3(a + -2b) -3a + 9b + (-6a * -1 + 7b * -1) = -3(a + -2b) -3a + 9b + (6a + -7b) = -3(a + -2b) Reorder the terms: -3a + 6a + 9b + -7b = -3(a + -2b) Combine like terms: -3a + 6a = 3a 3a + 9b + -7b = -3(a + -2b) Combine like terms: 9b + -7b = 2b 3a + 2b = -3(a + -2b) 3a + 2b = (a * -3 + -2b * -3) 3a + 2b = (-3a + 6b) Solving 3a + 2b = -3a + 6b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 3a + 3a + 2b = -3a + 3a + 6b Combine like terms: 3a + 3a = 6a 6a + 2b = -3a + 3a + 6b Combine like terms: -3a + 3a = 0 6a + 2b = 0 + 6b 6a + 2b = 6b Add '-2b' to each side of the equation. 6a + 2b + -2b = 6b + -2b Combine like terms: 2b + -2b = 0 6a + 0 = 6b + -2b 6a = 6b + -2b Combine like terms: 6b + -2b = 4b 6a = 4b Divide each side by '6'. a = 0.6666666667b Simplifying a = 0.6666666667b
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