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Simplifying -0.4 + -7a + 0.1 + 3a + 0.4 = 0 Reorder the terms: -0.4 + 0.1 + 0.4 + -7a + 3a = 0 Combine like terms: -0.4 + 0.1 = -0.3 -0.3 + 0.4 + -7a + 3a = 0 Combine like terms: -0.3 + 0.4 = 0.1 0.1 + -7a + 3a = 0 Combine like terms: -7a + 3a = -4a 0.1 + -4a = 0 Solving 0.1 + -4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + -4a = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -4a = 0 + -0.1 -4a = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 -4a = -0.1 Divide each side by '-4'. a = 0.025 Simplifying a = 0.025
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