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Simplifying 2.3a + 3.5b + -1.8a + -2.7b = 0 Reorder the terms: 2.3a + -1.8a + 3.5b + -2.7b = 0 Combine like terms: 2.3a + -1.8a = 0.5a 0.5a + 3.5b + -2.7b = 0 Combine like terms: 3.5b + -2.7b = 0.8b 0.5a + 0.8b = 0 Solving 0.5a + 0.8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.8b' to each side of the equation. 0.5a + 0.8b + -0.8b = 0 + -0.8b Combine like terms: 0.8b + -0.8b = 0.0 0.5a + 0.0 = 0 + -0.8b 0.5a = 0 + -0.8b Remove the zero: 0.5a = -0.8b Divide each side by '0.5'. a = -1.6b Simplifying a = -1.6b
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