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Simplifying 20.5a + 4.7 = 10.1a + 46.3 Reorder the terms: 4.7 + 20.5a = 10.1a + 46.3 Reorder the terms: 4.7 + 20.5a = 46.3 + 10.1a Solving 4.7 + 20.5a = 46.3 + 10.1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10.1a' to each side of the equation. 4.7 + 20.5a + -10.1a = 46.3 + 10.1a + -10.1a Combine like terms: 20.5a + -10.1a = 10.4a 4.7 + 10.4a = 46.3 + 10.1a + -10.1a Combine like terms: 10.1a + -10.1a = 0.0 4.7 + 10.4a = 46.3 + 0.0 4.7 + 10.4a = 46.3 Add '-4.7' to each side of the equation. 4.7 + -4.7 + 10.4a = 46.3 + -4.7 Combine like terms: 4.7 + -4.7 = 0.0 0.0 + 10.4a = 46.3 + -4.7 10.4a = 46.3 + -4.7 Combine like terms: 46.3 + -4.7 = 41.6 10.4a = 41.6 Divide each side by '10.4'. a = 4 Simplifying a = 4
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