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Simplifying a + 1 = -5a + 31 Reorder the terms: 1 + a = -5a + 31 Reorder the terms: 1 + a = 31 + -5a Solving 1 + a = 31 + -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. 1 + a + 5a = 31 + -5a + 5a Combine like terms: a + 5a = 6a 1 + 6a = 31 + -5a + 5a Combine like terms: -5a + 5a = 0 1 + 6a = 31 + 0 1 + 6a = 31 Add '-1' to each side of the equation. 1 + -1 + 6a = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 6a = 31 + -1 6a = 31 + -1 Combine like terms: 31 + -1 = 30 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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