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Simplifying 6.1a + 8.3 = 5.07a + -0.043 Reorder the terms: 8.3 + 6.1a = 5.07a + -0.043 Reorder the terms: 8.3 + 6.1a = -0.043 + 5.07a Solving 8.3 + 6.1a = -0.043 + 5.07a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5.07a' to each side of the equation. 8.3 + 6.1a + -5.07a = -0.043 + 5.07a + -5.07a Combine like terms: 6.1a + -5.07a = 1.03a 8.3 + 1.03a = -0.043 + 5.07a + -5.07a Combine like terms: 5.07a + -5.07a = 0.00 8.3 + 1.03a = -0.043 + 0.00 8.3 + 1.03a = -0.043 Add '-8.3' to each side of the equation. 8.3 + -8.3 + 1.03a = -0.043 + -8.3 Combine like terms: 8.3 + -8.3 = 0.0 0.0 + 1.03a = -0.043 + -8.3 1.03a = -0.043 + -8.3 Combine like terms: -0.043 + -8.3 = -8.343 1.03a = -8.343 Divide each side by '1.03'. a = -8.1 Simplifying a = -8.1
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