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Simplifying 12a + -4b + -3(a + -1b) = 0 12a + -4b + (a * -3 + -1b * -3) = 0 12a + -4b + (-3a + 3b) = 0 Reorder the terms: 12a + -3a + -4b + 3b = 0 Combine like terms: 12a + -3a = 9a 9a + -4b + 3b = 0 Combine like terms: -4b + 3b = -1b 9a + -1b = 0 Solving 9a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 9a + -1b + b = 0 + b Combine like terms: -1b + b = 0 9a + 0 = 0 + b 9a = 0 + b Remove the zero: 9a = b Divide each side by '9'. a = 0.1111111111b Simplifying a = 0.1111111111b
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