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Simplifying 2.3a + 1.7b + -1.2b + 2.7a + -1b = 0 Reorder the terms: 2.3a + 2.7a + 1.7b + -1.2b + -1b = 0 Combine like terms: 2.3a + 2.7a = 5a 5a + 1.7b + -1.2b + -1b = 0 Combine like terms: 1.7b + -1.2b = 0.5b 5a + 0.5b + -1b = 0 Combine like terms: 0.5b + -1b = -0.5b 5a + -0.5b = 0 Solving 5a + -0.5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.5b' to each side of the equation. 5a + -0.5b + 0.5b = 0 + 0.5b Combine like terms: -0.5b + 0.5b = 0.0 5a + 0.0 = 0 + 0.5b 5a = 0 + 0.5b Remove the zero: 5a = 0.5b Divide each side by '5'. a = 0.1b Simplifying a = 0.1b
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