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Simplifying 5(5a + -1b) + -6(8b + -8a) = 0 (5a * 5 + -1b * 5) + -6(8b + -8a) = 0 (25a + -5b) + -6(8b + -8a) = 0 Reorder the terms: 25a + -5b + -6(-8a + 8b) = 0 25a + -5b + (-8a * -6 + 8b * -6) = 0 25a + -5b + (48a + -48b) = 0 Reorder the terms: 25a + 48a + -5b + -48b = 0 Combine like terms: 25a + 48a = 73a 73a + -5b + -48b = 0 Combine like terms: -5b + -48b = -53b 73a + -53b = 0 Solving 73a + -53b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '53b' to each side of the equation. 73a + -53b + 53b = 0 + 53b Combine like terms: -53b + 53b = 0 73a + 0 = 0 + 53b 73a = 0 + 53b Remove the zero: 73a = 53b Divide each side by '73'. a = 0.7260273973b Simplifying a = 0.7260273973b
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