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Simplifying 3(9a + 4b) + -8(a + 2b) = 0 (9a * 3 + 4b * 3) + -8(a + 2b) = 0 (27a + 12b) + -8(a + 2b) = 0 27a + 12b + (a * -8 + 2b * -8) = 0 27a + 12b + (-8a + -16b) = 0 Reorder the terms: 27a + -8a + 12b + -16b = 0 Combine like terms: 27a + -8a = 19a 19a + 12b + -16b = 0 Combine like terms: 12b + -16b = -4b 19a + -4b = 0 Solving 19a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 19a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 19a + 0 = 0 + 4b 19a = 0 + 4b Remove the zero: 19a = 4b Divide each side by '19'. a = 0.2105263158b Simplifying a = 0.2105263158b
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