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Simplifying 9a + -31 = 89 + -1a Reorder the terms: -31 + 9a = 89 + -1a Solving -31 + 9a = 89 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -31 + 9a + a = 89 + -1a + a Combine like terms: 9a + a = 10a -31 + 10a = 89 + -1a + a Combine like terms: -1a + a = 0 -31 + 10a = 89 + 0 -31 + 10a = 89 Add '31' to each side of the equation. -31 + 31 + 10a = 89 + 31 Combine like terms: -31 + 31 = 0 0 + 10a = 89 + 31 10a = 89 + 31 Combine like terms: 89 + 31 = 120 10a = 120 Divide each side by '10'. a = 12 Simplifying a = 12
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