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Simplifying 5(8a + -1b) + -6(6b + -8a) = 0 (8a * 5 + -1b * 5) + -6(6b + -8a) = 0 (40a + -5b) + -6(6b + -8a) = 0 Reorder the terms: 40a + -5b + -6(-8a + 6b) = 0 40a + -5b + (-8a * -6 + 6b * -6) = 0 40a + -5b + (48a + -36b) = 0 Reorder the terms: 40a + 48a + -5b + -36b = 0 Combine like terms: 40a + 48a = 88a 88a + -5b + -36b = 0 Combine like terms: -5b + -36b = -41b 88a + -41b = 0 Solving 88a + -41b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '41b' to each side of the equation. 88a + -41b + 41b = 0 + 41b Combine like terms: -41b + 41b = 0 88a + 0 = 0 + 41b 88a = 0 + 41b Remove the zero: 88a = 41b Divide each side by '88'. a = 0.4659090909b Simplifying a = 0.4659090909b
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