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Simplifying -0.4a + 0.5 = -2a + 0.1 Reorder the terms: 0.5 + -0.4a = -2a + 0.1 Reorder the terms: 0.5 + -0.4a = 0.1 + -2a Solving 0.5 + -0.4a = 0.1 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 0.5 + -0.4a + 2a = 0.1 + -2a + 2a Combine like terms: -0.4a + 2a = 1.6a 0.5 + 1.6a = 0.1 + -2a + 2a Combine like terms: -2a + 2a = 0 0.5 + 1.6a = 0.1 + 0 0.5 + 1.6a = 0.1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.6a = 0.1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.6a = 0.1 + -0.5 1.6a = 0.1 + -0.5 Combine like terms: 0.1 + -0.5 = -0.4 1.6a = -0.4 Divide each side by '1.6'. a = -0.25 Simplifying a = -0.25
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