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Simplifying 8(2a + -1b) + -5(6b + -5a) = 0 (2a * 8 + -1b * 8) + -5(6b + -5a) = 0 (16a + -8b) + -5(6b + -5a) = 0 Reorder the terms: 16a + -8b + -5(-5a + 6b) = 0 16a + -8b + (-5a * -5 + 6b * -5) = 0 16a + -8b + (25a + -30b) = 0 Reorder the terms: 16a + 25a + -8b + -30b = 0 Combine like terms: 16a + 25a = 41a 41a + -8b + -30b = 0 Combine like terms: -8b + -30b = -38b 41a + -38b = 0 Solving 41a + -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. 41a + -38b + 38b = 0 + 38b Combine like terms: -38b + 38b = 0 41a + 0 = 0 + 38b 41a = 0 + 38b Remove the zero: 41a = 38b Divide each side by '41'. a = 0.9268292683b Simplifying a = 0.9268292683b
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