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Simplifying 10.4 = 0.5a + 0.4 + -0.4a + 0.9a Reorder the terms: 10.4 = 0.4 + 0.5a + -0.4a + 0.9a Combine like terms: 0.5a + -0.4a = 0.1a 10.4 = 0.4 + 0.1a + 0.9a Combine like terms: 0.1a + 0.9a = 1a 10.4 = 0.4 + 1a Solving 10.4 = 0.4 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 10.4 + -1a = 0.4 + 1a + -1a Combine like terms: 1a + -1a = 0 10.4 + -1a = 0.4 + 0 10.4 + -1a = 0.4 Add '-10.4' to each side of the equation. 10.4 + -10.4 + -1a = 0.4 + -10.4 Combine like terms: 10.4 + -10.4 = 0.0 0.0 + -1a = 0.4 + -10.4 -1a = 0.4 + -10.4 Combine like terms: 0.4 + -10.4 = -10 -1a = -10 Divide each side by '-1'. a = 10 Simplifying a = 10
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