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Simplifying 8.5a + 4.1b + -3.8a + -3.9b = 0 Reorder the terms: 8.5a + -3.8a + 4.1b + -3.9b = 0 Combine like terms: 8.5a + -3.8a = 4.7a 4.7a + 4.1b + -3.9b = 0 Combine like terms: 4.1b + -3.9b = 0.2b 4.7a + 0.2b = 0 Solving 4.7a + 0.2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.2b' to each side of the equation. 4.7a + 0.2b + -0.2b = 0 + -0.2b Combine like terms: 0.2b + -0.2b = 0.0 4.7a + 0.0 = 0 + -0.2b 4.7a = 0 + -0.2b Remove the zero: 4.7a = -0.2b Divide each side by '4.7'. a = -0.04255319149b Simplifying a = -0.04255319149b
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