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