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Simplifying 8(3a + -1b) + -4(3b + -8a) = 0 (3a * 8 + -1b * 8) + -4(3b + -8a) = 0 (24a + -8b) + -4(3b + -8a) = 0 Reorder the terms: 24a + -8b + -4(-8a + 3b) = 0 24a + -8b + (-8a * -4 + 3b * -4) = 0 24a + -8b + (32a + -12b) = 0 Reorder the terms: 24a + 32a + -8b + -12b = 0 Combine like terms: 24a + 32a = 56a 56a + -8b + -12b = 0 Combine like terms: -8b + -12b = -20b 56a + -20b = 0 Solving 56a + -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. 56a + -20b + 20b = 0 + 20b Combine like terms: -20b + 20b = 0 56a + 0 = 0 + 20b 56a = 0 + 20b Remove the zero: 56a = 20b Divide each side by '56'. a = 0.3571428571b Simplifying a = 0.3571428571b
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