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Simplifying 6 + -5a + 5 = 7 + a Reorder the terms: 6 + 5 + -5a = 7 + a Combine like terms: 6 + 5 = 11 11 + -5a = 7 + a Solving 11 + -5a = 7 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 11 + -5a + -1a = 7 + a + -1a Combine like terms: -5a + -1a = -6a 11 + -6a = 7 + a + -1a Combine like terms: a + -1a = 0 11 + -6a = 7 + 0 11 + -6a = 7 Add '-11' to each side of the equation. 11 + -11 + -6a = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -6a = 7 + -11 -6a = 7 + -11 Combine like terms: 7 + -11 = -4 -6a = -4 Divide each side by '-6'. a = 0.6666666667 Simplifying a = 0.6666666667
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