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Simplifying 1 + a = 11 + 6a Solving 1 + a = 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 + a + -6a = 11 + 6a + -6a Combine like terms: a + -6a = -5a 1 + -5a = 11 + 6a + -6a Combine like terms: 6a + -6a = 0 1 + -5a = 11 + 0 1 + -5a = 11 Add '-1' to each side of the equation. 1 + -1 + -5a = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -5a = 11 + -1 -5a = 11 + -1 Combine like terms: 11 + -1 = 10 -5a = 10 Divide each side by '-5'. a = -2 Simplifying a = -2
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