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Simplifying -0.1 + 0.4a + -0.1 + -0.5a = 0 Reorder the terms: -0.1 + -0.1 + 0.4a + -0.5a = 0 Combine like terms: -0.1 + -0.1 = -0.2 -0.2 + 0.4a + -0.5a = 0 Combine like terms: 0.4a + -0.5a = -0.1a -0.2 + -0.1a = 0 Solving -0.2 + -0.1a = 0 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 + -0.1a = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.1a = 0 + 0.2 -0.1a = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 -0.1a = 0.2 Divide each side by '-0.1'. a = -2 Simplifying a = -2
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