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Simplifying 5(6a + 4b) + 5(5a + 5b) = 0 (6a * 5 + 4b * 5) + 5(5a + 5b) = 0 (30a + 20b) + 5(5a + 5b) = 0 30a + 20b + (5a * 5 + 5b * 5) = 0 30a + 20b + (25a + 25b) = 0 Reorder the terms: 30a + 25a + 20b + 25b = 0 Combine like terms: 30a + 25a = 55a 55a + 20b + 25b = 0 Combine like terms: 20b + 25b = 45b 55a + 45b = 0 Solving 55a + 45b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45b' to each side of the equation. 55a + 45b + -45b = 0 + -45b Combine like terms: 45b + -45b = 0 55a + 0 = 0 + -45b 55a = 0 + -45b Remove the zero: 55a = -45b Divide each side by '55'. a = -0.8181818182b Simplifying a = -0.8181818182b
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