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Simplifying 6a + 2 = 1 + -1a Reorder the terms: 2 + 6a = 1 + -1a Solving 2 + 6a = 1 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 2 + 6a + a = 1 + -1a + a Combine like terms: 6a + a = 7a 2 + 7a = 1 + -1a + a Combine like terms: -1a + a = 0 2 + 7a = 1 + 0 2 + 7a = 1 Add '-2' to each side of the equation. 2 + -2 + 7a = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 7a = 1 + -2 7a = 1 + -2 Combine like terms: 1 + -2 = -1 7a = -1 Divide each side by '7'. a = -0.1428571429 Simplifying a = -0.1428571429
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