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Simplifying 0 = 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) Reorder the terms: 0 = 6a + -10a + -6b + -20b Combine like terms: 6a + -10a = -4a 0 = -4a + -6b + -20b Combine like terms: -6b + -20b = -26b 0 = -4a + -26b Solving 0 = -4a + -26b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 0 + 4a = -4a + 4a + -26b Remove the zero: 4a = -4a + 4a + -26b Combine like terms: -4a + 4a = 0 4a = 0 + -26b 4a = -26b Divide each side by '4'. a = -6.5b Simplifying a = -6.5b
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