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Simplifying 1 + -6a = 12 + 5a Solving 1 + -6a = 12 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 1 + -6a + -5a = 12 + 5a + -5a Combine like terms: -6a + -5a = -11a 1 + -11a = 12 + 5a + -5a Combine like terms: 5a + -5a = 0 1 + -11a = 12 + 0 1 + -11a = 12 Add '-1' to each side of the equation. 1 + -1 + -11a = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -11a = 12 + -1 -11a = 12 + -1 Combine like terms: 12 + -1 = 11 -11a = 11 Divide each side by '-11'. a = -1 Simplifying a = -1
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