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Simplifying 6a + -2n + 3(a + -1b) = 0 6a + -2n + (a * 3 + -1b * 3) = 0 6a + -2n + (3a + -3b) = 0 Reorder the terms: 6a + 3a + -3b + -2n = 0 Combine like terms: 6a + 3a = 9a 9a + -3b + -2n = 0 Solving 9a + -3b + -2n = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 9a + -3b + 3b + -2n = 0 + 3b Combine like terms: -3b + 3b = 0 9a + 0 + -2n = 0 + 3b 9a + -2n = 0 + 3b Remove the zero: 9a + -2n = 3b Add '2n' to each side of the equation. 9a + -2n + 2n = 3b + 2n Combine like terms: -2n + 2n = 0 9a + 0 = 3b + 2n 9a = 3b + 2n Divide each side by '9'. a = 0.3333333333b + 0.2222222222n Simplifying a = 0.3333333333b + 0.2222222222n
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