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Simplifying 0.8a + 0.2 = 0.4a + 0.7 Reorder the terms: 0.2 + 0.8a = 0.4a + 0.7 Reorder the terms: 0.2 + 0.8a = 0.7 + 0.4a Solving 0.2 + 0.8a = 0.7 + 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. 0.2 + 0.8a + -0.4a = 0.7 + 0.4a + -0.4a Combine like terms: 0.8a + -0.4a = 0.4a 0.2 + 0.4a = 0.7 + 0.4a + -0.4a Combine like terms: 0.4a + -0.4a = 0.0 0.2 + 0.4a = 0.7 + 0.0 0.2 + 0.4a = 0.7 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.4a = 0.7 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.4a = 0.7 + -0.2 0.4a = 0.7 + -0.2 Combine like terms: 0.7 + -0.2 = 0.5 0.4a = 0.5 Divide each side by '0.4'. a = 1.25 Simplifying a = 1.25
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