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Simplifying 20.6 + 3a = a + 38 Reorder the terms: 20.6 + 3a = 38 + a Solving 20.6 + 3a = 38 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 20.6 + 3a + -1a = 38 + a + -1a Combine like terms: 3a + -1a = 2a 20.6 + 2a = 38 + a + -1a Combine like terms: a + -1a = 0 20.6 + 2a = 38 + 0 20.6 + 2a = 38 Add '-20.6' to each side of the equation. 20.6 + -20.6 + 2a = 38 + -20.6 Combine like terms: 20.6 + -20.6 = 0.0 0.0 + 2a = 38 + -20.6 2a = 38 + -20.6 Combine like terms: 38 + -20.6 = 17.4 2a = 17.4 Divide each side by '2'. a = 8.7 Simplifying a = 8.7
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