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Simplifying 5a + 6 + -8a + 11 = 5 + -6a Reorder the terms: 6 + 11 + 5a + -8a = 5 + -6a Combine like terms: 6 + 11 = 17 17 + 5a + -8a = 5 + -6a Combine like terms: 5a + -8a = -3a 17 + -3a = 5 + -6a Solving 17 + -3a = 5 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 17 + -3a + 6a = 5 + -6a + 6a Combine like terms: -3a + 6a = 3a 17 + 3a = 5 + -6a + 6a Combine like terms: -6a + 6a = 0 17 + 3a = 5 + 0 17 + 3a = 5 Add '-17' to each side of the equation. 17 + -17 + 3a = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 3a = 5 + -17 3a = 5 + -17 Combine like terms: 5 + -17 = -12 3a = -12 Divide each side by '3'. a = -4 Simplifying a = -4
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