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Simplifying 7 + -1a = 6 + 5a Solving 7 + -1a = 6 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 7 + -1a + -5a = 6 + 5a + -5a Combine like terms: -1a + -5a = -6a 7 + -6a = 6 + 5a + -5a Combine like terms: 5a + -5a = 0 7 + -6a = 6 + 0 7 + -6a = 6 Add '-7' to each side of the equation. 7 + -7 + -6a = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -6a = 6 + -7 -6a = 6 + -7 Combine like terms: 6 + -7 = -1 -6a = -1 Divide each side by '-6'. a = 0.1666666667 Simplifying a = 0.1666666667
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