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Simplifying 6a + -2b + 3(a + -1b) = 0 6a + -2b + (a * 3 + -1b * 3) = 0 6a + -2b + (3a + -3b) = 0 Reorder the terms: 6a + 3a + -2b + -3b = 0 Combine like terms: 6a + 3a = 9a 9a + -2b + -3b = 0 Combine like terms: -2b + -3b = -5b 9a + -5b = 0 Solving 9a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 9a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 9a + 0 = 0 + 5b 9a = 0 + 5b Remove the zero: 9a = 5b Divide each side by '9'. a = 0.5555555556b Simplifying a = 0.5555555556b
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