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Simplifying 4(5a + 4b) + 5(6a + 4b) = 0 (5a * 4 + 4b * 4) + 5(6a + 4b) = 0 (20a + 16b) + 5(6a + 4b) = 0 20a + 16b + (6a * 5 + 4b * 5) = 0 20a + 16b + (30a + 20b) = 0 Reorder the terms: 20a + 30a + 16b + 20b = 0 Combine like terms: 20a + 30a = 50a 50a + 16b + 20b = 0 Combine like terms: 16b + 20b = 36b 50a + 36b = 0 Solving 50a + 36b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36b' to each side of the equation. 50a + 36b + -36b = 0 + -36b Combine like terms: 36b + -36b = 0 50a + 0 = 0 + -36b 50a = 0 + -36b Remove the zero: 50a = -36b Divide each side by '50'. a = -0.72b Simplifying a = -0.72b
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