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Simplifying 12a + 1 = 6a + 11 Reorder the terms: 1 + 12a = 6a + 11 Reorder the terms: 1 + 12a = 11 + 6a Solving 1 + 12a = 11 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 1 + 12a + -6a = 11 + 6a + -6a Combine like terms: 12a + -6a = 6a 1 + 6a = 11 + 6a + -6a Combine like terms: 6a + -6a = 0 1 + 6a = 11 + 0 1 + 6a = 11 Add '-1' to each side of the equation. 1 + -1 + 6a = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 6a = 11 + -1 6a = 11 + -1 Combine like terms: 11 + -1 = 10 6a = 10 Divide each side by '6'. a = 1.666666667 Simplifying a = 1.666666667
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