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Simplifying 31a + -2 + -4a + 45 = 4a + 45 Reorder the terms: -2 + 45 + 31a + -4a = 4a + 45 Combine like terms: -2 + 45 = 43 43 + 31a + -4a = 4a + 45 Combine like terms: 31a + -4a = 27a 43 + 27a = 4a + 45 Reorder the terms: 43 + 27a = 45 + 4a Solving 43 + 27a = 45 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 43 + 27a + -4a = 45 + 4a + -4a Combine like terms: 27a + -4a = 23a 43 + 23a = 45 + 4a + -4a Combine like terms: 4a + -4a = 0 43 + 23a = 45 + 0 43 + 23a = 45 Add '-43' to each side of the equation. 43 + -43 + 23a = 45 + -43 Combine like terms: 43 + -43 = 0 0 + 23a = 45 + -43 23a = 45 + -43 Combine like terms: 45 + -43 = 2 23a = 2 Divide each side by '23'. a = 0.08695652174 Simplifying a = 0.08695652174
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