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Simplifying 8(3a + -1b) + 4(2b + -1a) = 0 (3a * 8 + -1b * 8) + 4(2b + -1a) = 0 (24a + -8b) + 4(2b + -1a) = 0 Reorder the terms: 24a + -8b + 4(-1a + 2b) = 0 24a + -8b + (-1a * 4 + 2b * 4) = 0 24a + -8b + (-4a + 8b) = 0 Reorder the terms: 24a + -4a + -8b + 8b = 0 Combine like terms: 24a + -4a = 20a 20a + -8b + 8b = 0 Combine like terms: -8b + 8b = 0 20a + 0 = 0 20a = 0 Solving 20a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '20'. a = 0.0 Simplifying a = 0.0
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