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Simplifying 8(3a + -1b) + -6(2b + -5a) = 0 (3a * 8 + -1b * 8) + -6(2b + -5a) = 0 (24a + -8b) + -6(2b + -5a) = 0 Reorder the terms: 24a + -8b + -6(-5a + 2b) = 0 24a + -8b + (-5a * -6 + 2b * -6) = 0 24a + -8b + (30a + -12b) = 0 Reorder the terms: 24a + 30a + -8b + -12b = 0 Combine like terms: 24a + 30a = 54a 54a + -8b + -12b = 0 Combine like terms: -8b + -12b = -20b 54a + -20b = 0 Solving 54a + -20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20b' to each side of the equation. 54a + -20b + 20b = 0 + 20b Combine like terms: -20b + 20b = 0 54a + 0 = 0 + 20b 54a = 0 + 20b Remove the zero: 54a = 20b Divide each side by '54'. a = 0.3703703704b Simplifying a = 0.3703703704b
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