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Simplifying 8(3a + -1b) + -4(6b + -5a) = 0 (3a * 8 + -1b * 8) + -4(6b + -5a) = 0 (24a + -8b) + -4(6b + -5a) = 0 Reorder the terms: 24a + -8b + -4(-5a + 6b) = 0 24a + -8b + (-5a * -4 + 6b * -4) = 0 24a + -8b + (20a + -24b) = 0 Reorder the terms: 24a + 20a + -8b + -24b = 0 Combine like terms: 24a + 20a = 44a 44a + -8b + -24b = 0 Combine like terms: -8b + -24b = -32b 44a + -32b = 0 Solving 44a + -32b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32b' to each side of the equation. 44a + -32b + 32b = 0 + 32b Combine like terms: -32b + 32b = 0 44a + 0 = 0 + 32b 44a = 0 + 32b Remove the zero: 44a = 32b Divide each side by '44'. a = 0.7272727273b Simplifying a = 0.7272727273b
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