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Simplifying -2.4a + 3.7 = 16.1 + 3.1a Reorder the terms: 3.7 + -2.4a = 16.1 + 3.1a Solving 3.7 + -2.4a = 16.1 + 3.1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.1a' to each side of the equation. 3.7 + -2.4a + -3.1a = 16.1 + 3.1a + -3.1a Combine like terms: -2.4a + -3.1a = -5.5a 3.7 + -5.5a = 16.1 + 3.1a + -3.1a Combine like terms: 3.1a + -3.1a = 0.0 3.7 + -5.5a = 16.1 + 0.0 3.7 + -5.5a = 16.1 Add '-3.7' to each side of the equation. 3.7 + -3.7 + -5.5a = 16.1 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + -5.5a = 16.1 + -3.7 -5.5a = 16.1 + -3.7 Combine like terms: 16.1 + -3.7 = 12.4 -5.5a = 12.4 Divide each side by '-5.5'. a = -2.254545455 Simplifying a = -2.254545455
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