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Simplifying 12a + -4b = 3a + 2b Solving 12a + -4b = 3a + 2b 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. 12a + -3a + -4b = 3a + -3a + 2b Combine like terms: 12a + -3a = 9a 9a + -4b = 3a + -3a + 2b Combine like terms: 3a + -3a = 0 9a + -4b = 0 + 2b 9a + -4b = 2b Add '4b' to each side of the equation. 9a + -4b + 4b = 2b + 4b Combine like terms: -4b + 4b = 0 9a + 0 = 2b + 4b 9a = 2b + 4b Combine like terms: 2b + 4b = 6b 9a = 6b Divide each side by '9'. a = 0.6666666667b Simplifying a = 0.6666666667b
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