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Simplifying 6(5a + -1b) + -7(4b + -8a) = 0 (5a * 6 + -1b * 6) + -7(4b + -8a) = 0 (30a + -6b) + -7(4b + -8a) = 0 Reorder the terms: 30a + -6b + -7(-8a + 4b) = 0 30a + -6b + (-8a * -7 + 4b * -7) = 0 30a + -6b + (56a + -28b) = 0 Reorder the terms: 30a + 56a + -6b + -28b = 0 Combine like terms: 30a + 56a = 86a 86a + -6b + -28b = 0 Combine like terms: -6b + -28b = -34b 86a + -34b = 0 Solving 86a + -34b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '34b' to each side of the equation. 86a + -34b + 34b = 0 + 34b Combine like terms: -34b + 34b = 0 86a + 0 = 0 + 34b 86a = 0 + 34b Remove the zero: 86a = 34b Divide each side by '86'. a = 0.3953488372b Simplifying a = 0.3953488372b
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