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Simplifying (1.1a + 1.2b) + (2a + -0.8b) = 0 Remove parenthesis around (1.1a + 1.2b) 1.1a + 1.2b + (2a + -0.8b) = 0 Remove parenthesis around (2a + -0.8b) 1.1a + 1.2b + 2a + -0.8b = 0 Reorder the terms: 1.1a + 2a + 1.2b + -0.8b = 0 Combine like terms: 1.1a + 2a = 3.1a 3.1a + 1.2b + -0.8b = 0 Combine like terms: 1.2b + -0.8b = 0.4b 3.1a + 0.4b = 0 Solving 3.1a + 0.4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.4b' to each side of the equation. 3.1a + 0.4b + -0.4b = 0 + -0.4b Combine like terms: 0.4b + -0.4b = 0.0 3.1a + 0.0 = 0 + -0.4b 3.1a = 0 + -0.4b Remove the zero: 3.1a = -0.4b Divide each side by '3.1'. a = -0.1290322581b Simplifying a = -0.1290322581b
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