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Simplifying 2a + 8b + -2(4a + -9b) = 0 2a + 8b + (4a * -2 + -9b * -2) = 0 2a + 8b + (-8a + 18b) = 0 Reorder the terms: 2a + -8a + 8b + 18b = 0 Combine like terms: 2a + -8a = -6a -6a + 8b + 18b = 0 Combine like terms: 8b + 18b = 26b -6a + 26b = 0 Solving -6a + 26b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26b' to each side of the equation. -6a + 26b + -26b = 0 + -26b Combine like terms: 26b + -26b = 0 -6a + 0 = 0 + -26b -6a = 0 + -26b Remove the zero: -6a = -26b Divide each side by '-6'. a = 4.333333333b Simplifying a = 4.333333333b
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