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Simplifying a + 5 + -1a = -5a + 5 + -1a Reorder the terms: 5 + a + -1a = -5a + 5 + -1a Combine like terms: a + -1a = 0 5 + 0 = -5a + 5 + -1a 5 = -5a + 5 + -1a Reorder the terms: 5 = 5 + -5a + -1a Combine like terms: -5a + -1a = -6a 5 = 5 + -6a Add '-5' to each side of the equation. 5 + -5 = 5 + -5 + -6a Combine like terms: 5 + -5 = 0 0 = 5 + -5 + -6a Combine like terms: 5 + -5 = 0 0 = 0 + -6a 0 = -6a Solving 0 = -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. 0 + 6a = -6a + 6a Remove the zero: 6a = -6a + 6a Combine like terms: -6a + 6a = 0 6a = 0 Divide each side by '6'. a = 0 Simplifying a = 0
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