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Simplifying 6(a + -1b) + 5(2a + 4b) = 0 (a * 6 + -1b * 6) + 5(2a + 4b) = 0 (6a + -6b) + 5(2a + 4b) = 0 6a + -6b + (2a * 5 + 4b * 5) = 0 6a + -6b + (10a + 20b) = 0 Reorder the terms: 6a + 10a + -6b + 20b = 0 Combine like terms: 6a + 10a = 16a 16a + -6b + 20b = 0 Combine like terms: -6b + 20b = 14b 16a + 14b = 0 Solving 16a + 14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 16a + 14b + -14b = 0 + -14b Combine like terms: 14b + -14b = 0 16a + 0 = 0 + -14b 16a = 0 + -14b Remove the zero: 16a = -14b Divide each side by '16'. a = -0.875b Simplifying a = -0.875b
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