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Simplifying 3.1(a + b) + 8.7a = 0 (a * 3.1 + b * 3.1) + 8.7a = 0 (3.1a + 3.1b) + 8.7a = 0 Reorder the terms: 3.1a + 8.7a + 3.1b = 0 Combine like terms: 3.1a + 8.7a = 11.8a 11.8a + 3.1b = 0 Solving 11.8a + 3.1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.1b' to each side of the equation. 11.8a + 3.1b + -3.1b = 0 + -3.1b Combine like terms: 3.1b + -3.1b = 0.0 11.8a + 0.0 = 0 + -3.1b 11.8a = 0 + -3.1b Remove the zero: 11.8a = -3.1b Divide each side by '11.8'. a = -0.2627118644b Simplifying a = -0.2627118644b
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