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Simplifying -3kg + -1[4xy + -1(6kg + -2xy)] = 0 -3gk + -1[4xy + (6gk * -1 + -2xy * -1)] = 0 -3gk + -1[4xy + (-6gk + 2xy)] = 0 Reorder the terms: -3gk + -1[-6gk + 4xy + 2xy] = 0 Combine like terms: 4xy + 2xy = 6xy -3gk + -1[-6gk + 6xy] = 0 -3gk + [-6gk * -1 + 6xy * -1] = 0 -3gk + [6gk + -6xy] = 0 Combine like terms: -3gk + 6gk = 3gk 3gk + -6xy = 0 Solving 3gk + -6xy = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6xy' to each side of the equation. 3gk + -6xy + 6xy = 0 + 6xy Combine like terms: -6xy + 6xy = 0 3gk + 0 = 0 + 6xy 3gk = 0 + 6xy Remove the zero: 3gk = 6xy Divide each side by '3k'. g = 2k-1xy Simplifying g = 2k-1xy
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