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Simplifying 6(6a + -1b) + -4(8b + -5a) = 0 (6a * 6 + -1b * 6) + -4(8b + -5a) = 0 (36a + -6b) + -4(8b + -5a) = 0 Reorder the terms: 36a + -6b + -4(-5a + 8b) = 0 36a + -6b + (-5a * -4 + 8b * -4) = 0 36a + -6b + (20a + -32b) = 0 Reorder the terms: 36a + 20a + -6b + -32b = 0 Combine like terms: 36a + 20a = 56a 56a + -6b + -32b = 0 Combine like terms: -6b + -32b = -38b 56a + -38b = 0 Solving 56a + -38b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '38b' to each side of the equation. 56a + -38b + 38b = 0 + 38b Combine like terms: -38b + 38b = 0 56a + 0 = 0 + 38b 56a = 0 + 38b Remove the zero: 56a = 38b Divide each side by '56'. a = 0.6785714286b Simplifying a = 0.6785714286b
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