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Simplifying 6.2(a + b) + 2.6(a + b) + 3a = 0 (a * 6.2 + b * 6.2) + 2.6(a + b) + 3a = 0 (6.2a + 6.2b) + 2.6(a + b) + 3a = 0 6.2a + 6.2b + (a * 2.6 + b * 2.6) + 3a = 0 6.2a + 6.2b + (2.6a + 2.6b) + 3a = 0 Reorder the terms: 6.2a + 2.6a + 3a + 6.2b + 2.6b = 0 Combine like terms: 6.2a + 2.6a = 8.8a 8.8a + 3a + 6.2b + 2.6b = 0 Combine like terms: 8.8a + 3a = 11.8a 11.8a + 6.2b + 2.6b = 0 Combine like terms: 6.2b + 2.6b = 8.8b 11.8a + 8.8b = 0 Solving 11.8a + 8.8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8.8b' to each side of the equation. 11.8a + 8.8b + -8.8b = 0 + -8.8b Combine like terms: 8.8b + -8.8b = 0.0 11.8a + 0.0 = 0 + -8.8b 11.8a = 0 + -8.8b Remove the zero: 11.8a = -8.8b Divide each side by '11.8'. a = -0.7457627119b Simplifying a = -0.7457627119b
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