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Simplifying -1a + 9 = a + 31 Reorder the terms: 9 + -1a = a + 31 Reorder the terms: 9 + -1a = 31 + a Solving 9 + -1a = 31 + 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. 9 + -1a + -1a = 31 + a + -1a Combine like terms: -1a + -1a = -2a 9 + -2a = 31 + a + -1a Combine like terms: a + -1a = 0 9 + -2a = 31 + 0 9 + -2a = 31 Add '-9' to each side of the equation. 9 + -9 + -2a = 31 + -9 Combine like terms: 9 + -9 = 0 0 + -2a = 31 + -9 -2a = 31 + -9 Combine like terms: 31 + -9 = 22 -2a = 22 Divide each side by '-2'. a = -11 Simplifying a = -11
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