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Simplifying 13 + -2.3a = 3.1a + 40 Reorder the terms: 13 + -2.3a = 40 + 3.1a Solving 13 + -2.3a = 40 + 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. 13 + -2.3a + -3.1a = 40 + 3.1a + -3.1a Combine like terms: -2.3a + -3.1a = -5.4a 13 + -5.4a = 40 + 3.1a + -3.1a Combine like terms: 3.1a + -3.1a = 0.0 13 + -5.4a = 40 + 0.0 13 + -5.4a = 40 Add '-13' to each side of the equation. 13 + -13 + -5.4a = 40 + -13 Combine like terms: 13 + -13 = 0 0 + -5.4a = 40 + -13 -5.4a = 40 + -13 Combine like terms: 40 + -13 = 27 -5.4a = 27 Divide each side by '-5.4'. a = -5 Simplifying a = -5
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