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Simplifying 7(a + -1b) + -1(4b + -6a) = 0 (a * 7 + -1b * 7) + -1(4b + -6a) = 0 (7a + -7b) + -1(4b + -6a) = 0 Reorder the terms: 7a + -7b + -1(-6a + 4b) = 0 7a + -7b + (-6a * -1 + 4b * -1) = 0 7a + -7b + (6a + -4b) = 0 Reorder the terms: 7a + 6a + -7b + -4b = 0 Combine like terms: 7a + 6a = 13a 13a + -7b + -4b = 0 Combine like terms: -7b + -4b = -11b 13a + -11b = 0 Solving 13a + -11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11b' to each side of the equation. 13a + -11b + 11b = 0 + 11b Combine like terms: -11b + 11b = 0 13a + 0 = 0 + 11b 13a = 0 + 11b Remove the zero: 13a = 11b Divide each side by '13'. a = 0.8461538462b Simplifying a = 0.8461538462b
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