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Simplifying 5 + 6 + -6a + 5 = a + 2 Reorder the terms: 5 + 6 + 5 + -6a = a + 2 Combine like terms: 5 + 6 = 11 11 + 5 + -6a = a + 2 Combine like terms: 11 + 5 = 16 16 + -6a = a + 2 Reorder the terms: 16 + -6a = 2 + a Solving 16 + -6a = 2 + 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. 16 + -6a + -1a = 2 + a + -1a Combine like terms: -6a + -1a = -7a 16 + -7a = 2 + a + -1a Combine like terms: a + -1a = 0 16 + -7a = 2 + 0 16 + -7a = 2 Add '-16' to each side of the equation. 16 + -16 + -7a = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -7a = 2 + -16 -7a = 2 + -16 Combine like terms: 2 + -16 = -14 -7a = -14 Divide each side by '-7'. a = 2 Simplifying a = 2
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