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Simplifying 3.5a + 5 = 0.5a + 23 Reorder the terms: 5 + 3.5a = 0.5a + 23 Reorder the terms: 5 + 3.5a = 23 + 0.5a Solving 5 + 3.5a = 23 + 0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5a' to each side of the equation. 5 + 3.5a + -0.5a = 23 + 0.5a + -0.5a Combine like terms: 3.5a + -0.5a = 3a 5 + 3a = 23 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 5 + 3a = 23 + 0.0 5 + 3a = 23 Add '-5' to each side of the equation. 5 + -5 + 3a = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 23 + -5 3a = 23 + -5 Combine like terms: 23 + -5 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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