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Simplifying 6.7a + 4.3b + -4.1a + -2.9b = 0 Reorder the terms: 6.7a + -4.1a + 4.3b + -2.9b = 0 Combine like terms: 6.7a + -4.1a = 2.6a 2.6a + 4.3b + -2.9b = 0 Combine like terms: 4.3b + -2.9b = 1.4b 2.6a + 1.4b = 0 Solving 2.6a + 1.4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.4b' to each side of the equation. 2.6a + 1.4b + -1.4b = 0 + -1.4b Combine like terms: 1.4b + -1.4b = 0.0 2.6a + 0.0 = 0 + -1.4b 2.6a = 0 + -1.4b Remove the zero: 2.6a = -1.4b Divide each side by '2.6'. a = -0.5384615385b Simplifying a = -0.5384615385b
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