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Simplifying 1 + 6a = -11 + 3a Solving 1 + 6a = -11 + 3a 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. 1 + 6a + -3a = -11 + 3a + -3a Combine like terms: 6a + -3a = 3a 1 + 3a = -11 + 3a + -3a Combine like terms: 3a + -3a = 0 1 + 3a = -11 + 0 1 + 3a = -11 Add '-1' to each side of the equation. 1 + -1 + 3a = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 3a = -11 + -1 3a = -11 + -1 Combine like terms: -11 + -1 = -12 3a = -12 Divide each side by '3'. a = -4 Simplifying a = -4
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