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Simplifying 0.8a + 5 = 0.4a + 15 Reorder the terms: 5 + 0.8a = 0.4a + 15 Reorder the terms: 5 + 0.8a = 15 + 0.4a Solving 5 + 0.8a = 15 + 0.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.4a' to each side of the equation. 5 + 0.8a + -0.4a = 15 + 0.4a + -0.4a Combine like terms: 0.8a + -0.4a = 0.4a 5 + 0.4a = 15 + 0.4a + -0.4a Combine like terms: 0.4a + -0.4a = 0.0 5 + 0.4a = 15 + 0.0 5 + 0.4a = 15 Add '-5' to each side of the equation. 5 + -5 + 0.4a = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 0.4a = 15 + -5 0.4a = 15 + -5 Combine like terms: 15 + -5 = 10 0.4a = 10 Divide each side by '0.4'. a = 25 Simplifying a = 25
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