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Simplifying a + 6 = 11 + 5a Reorder the terms: 6 + a = 11 + 5a Solving 6 + a = 11 + 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. 6 + a + -5a = 11 + 5a + -5a Combine like terms: a + -5a = -4a 6 + -4a = 11 + 5a + -5a Combine like terms: 5a + -5a = 0 6 + -4a = 11 + 0 6 + -4a = 11 Add '-6' to each side of the equation. 6 + -6 + -4a = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -4a = 11 + -6 -4a = 11 + -6 Combine like terms: 11 + -6 = 5 -4a = 5 Divide each side by '-4'. a = -1.25 Simplifying a = -1.25
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