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Simplifying (2.5a + 1.6b) + (3.4a + 4b) = 0 Remove parenthesis around (2.5a + 1.6b) 2.5a + 1.6b + (3.4a + 4b) = 0 Remove parenthesis around (3.4a + 4b) 2.5a + 1.6b + 3.4a + 4b = 0 Reorder the terms: 2.5a + 3.4a + 1.6b + 4b = 0 Combine like terms: 2.5a + 3.4a = 5.9a 5.9a + 1.6b + 4b = 0 Combine like terms: 1.6b + 4b = 5.6b 5.9a + 5.6b = 0 Solving 5.9a + 5.6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5.6b' to each side of the equation. 5.9a + 5.6b + -5.6b = 0 + -5.6b Combine like terms: 5.6b + -5.6b = 0.0 5.9a + 0.0 = 0 + -5.6b 5.9a = 0 + -5.6b Remove the zero: 5.9a = -5.6b Divide each side by '5.9'. a = -0.9491525424b Simplifying a = -0.9491525424b
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