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Simplifying 6a + -1b(7 + -1c) = 0 6a + (7 * -1b + -1c * -1b) = 0 6a + (-7b + 1bc) = 0 Solving 6a + -7b + 1bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 6a + -7b + 7b + 1bc = 0 + 7b Combine like terms: -7b + 7b = 0 6a + 0 + 1bc = 0 + 7b 6a + 1bc = 0 + 7b Remove the zero: 6a + 1bc = 7b Add '-1bc' to each side of the equation. 6a + 1bc + -1bc = 7b + -1bc Combine like terms: 1bc + -1bc = 0 6a + 0 = 7b + -1bc 6a = 7b + -1bc Divide each side by '6'. a = 1.166666667b + -0.1666666667bc Simplifying a = 1.166666667b + -0.1666666667bc
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