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Simplifying 11 + 4a = 1 + a + -7a Combine like terms: a + -7a = -6a 11 + 4a = 1 + -6a Solving 11 + 4a = 1 + -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. 11 + 4a + 6a = 1 + -6a + 6a Combine like terms: 4a + 6a = 10a 11 + 10a = 1 + -6a + 6a Combine like terms: -6a + 6a = 0 11 + 10a = 1 + 0 11 + 10a = 1 Add '-11' to each side of the equation. 11 + -11 + 10a = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 10a = 1 + -11 10a = 1 + -11 Combine like terms: 1 + -11 = -10 10a = -10 Divide each side by '10'. a = -1 Simplifying a = -1
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