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Simplifying 4a + -9 = -1a + 31 Reorder the terms: -9 + 4a = -1a + 31 Reorder the terms: -9 + 4a = 31 + -1a Solving -9 + 4a = 31 + -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. -9 + 4a + a = 31 + -1a + a Combine like terms: 4a + a = 5a -9 + 5a = 31 + -1a + a Combine like terms: -1a + a = 0 -9 + 5a = 31 + 0 -9 + 5a = 31 Add '9' to each side of the equation. -9 + 9 + 5a = 31 + 9 Combine like terms: -9 + 9 = 0 0 + 5a = 31 + 9 5a = 31 + 9 Combine like terms: 31 + 9 = 40 5a = 40 Divide each side by '5'. a = 8 Simplifying a = 8
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