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Simplifying 2b + 3(2b + 8a) + -3(8b + 2a) = 0 Reorder the terms: 2b + 3(8a + 2b) + -3(8b + 2a) = 0 2b + (8a * 3 + 2b * 3) + -3(8b + 2a) = 0 2b + (24a + 6b) + -3(8b + 2a) = 0 Reorder the terms: 2b + 24a + 6b + -3(2a + 8b) = 0 2b + 24a + 6b + (2a * -3 + 8b * -3) = 0 2b + 24a + 6b + (-6a + -24b) = 0 Reorder the terms: 24a + -6a + 2b + 6b + -24b = 0 Combine like terms: 24a + -6a = 18a 18a + 2b + 6b + -24b = 0 Combine like terms: 2b + 6b = 8b 18a + 8b + -24b = 0 Combine like terms: 8b + -24b = -16b 18a + -16b = 0 Solving 18a + -16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16b' to each side of the equation. 18a + -16b + 16b = 0 + 16b Combine like terms: -16b + 16b = 0 18a + 0 = 0 + 16b 18a = 0 + 16b Remove the zero: 18a = 16b Divide each side by '18'. a = 0.8888888889b Simplifying a = 0.8888888889b
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