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Simplifying 0.8a + 0.2 = 0.4 + 0.7 Reorder the terms: 0.2 + 0.8a = 0.4 + 0.7 Combine like terms: 0.4 + 0.7 = 1.1 0.2 + 0.8a = 1.1 Solving 0.2 + 0.8a = 1.1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.8a = 1.1 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.8a = 1.1 + -0.2 0.8a = 1.1 + -0.2 Combine like terms: 1.1 + -0.2 = 0.9 0.8a = 0.9 Divide each side by '0.8'. a = 1.125 Simplifying a = 1.125
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