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Simplifying 8(8a + -1b) + -5(3b + -4a) = 0 (8a * 8 + -1b * 8) + -5(3b + -4a) = 0 (64a + -8b) + -5(3b + -4a) = 0 Reorder the terms: 64a + -8b + -5(-4a + 3b) = 0 64a + -8b + (-4a * -5 + 3b * -5) = 0 64a + -8b + (20a + -15b) = 0 Reorder the terms: 64a + 20a + -8b + -15b = 0 Combine like terms: 64a + 20a = 84a 84a + -8b + -15b = 0 Combine like terms: -8b + -15b = -23b 84a + -23b = 0 Solving 84a + -23b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23b' to each side of the equation. 84a + -23b + 23b = 0 + 23b Combine like terms: -23b + 23b = 0 84a + 0 = 0 + 23b 84a = 0 + 23b Remove the zero: 84a = 23b Divide each side by '84'. a = 0.2738095238b Simplifying a = 0.2738095238b
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