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Simplifying a + 6 = 7a + -1 Reorder the terms: 6 + a = 7a + -1 Reorder the terms: 6 + a = -1 + 7a Solving 6 + a = -1 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 6 + a + -7a = -1 + 7a + -7a Combine like terms: a + -7a = -6a 6 + -6a = -1 + 7a + -7a Combine like terms: 7a + -7a = 0 6 + -6a = -1 + 0 6 + -6a = -1 Add '-6' to each side of the equation. 6 + -6 + -6a = -1 + -6 Combine like terms: 6 + -6 = 0 0 + -6a = -1 + -6 -6a = -1 + -6 Combine like terms: -1 + -6 = -7 -6a = -7 Divide each side by '-6'. a = 1.166666667 Simplifying a = 1.166666667
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