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Simplifying y[n] = 2x[n] + -1x[n + -1] Multiply y * n ny = 2x[n] + -1x[n + -1] Multiply x * n ny = 2nx + -1x[n + -1] Reorder the terms: ny = 2nx + -1x[-1 + n] ny = 2nx + [-1 * -1x + n * -1x] Reorder the terms: ny = 2nx + [-1nx + 1x] ny = 2nx + [-1nx + 1x] Combine like terms: 2nx + -1nx = 1nx ny = 1nx + 1x Solving ny = 1nx + 1x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1nx' to each side of the equation. -1nx + ny = 1nx + -1nx + 1x Combine like terms: 1nx + -1nx = 0 -1nx + ny = 0 + 1x -1nx + ny = 1x Combine like terms: 1x + -1x = 0 -1nx + ny + -1x = 0 The solution to this equation could not be determined.
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