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Simplifying 8.1a + 2.3 = 5.1a + -31 Reorder the terms: 2.3 + 8.1a = 5.1a + -31 Reorder the terms: 2.3 + 8.1a = -31 + 5.1a Solving 2.3 + 8.1a = -31 + 5.1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5.1a' to each side of the equation. 2.3 + 8.1a + -5.1a = -31 + 5.1a + -5.1a Combine like terms: 8.1a + -5.1a = 3a 2.3 + 3a = -31 + 5.1a + -5.1a Combine like terms: 5.1a + -5.1a = 0.0 2.3 + 3a = -31 + 0.0 2.3 + 3a = -31 Add '-2.3' to each side of the equation. 2.3 + -2.3 + 3a = -31 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + 3a = -31 + -2.3 3a = -31 + -2.3 Combine like terms: -31 + -2.3 = -33.3 3a = -33.3 Divide each side by '3'. a = -11.1 Simplifying a = -11.1
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