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Simplifying y[n] = 2x[n] + 4x[n + -1] Multiply y * n ny = 2x[n] + 4x[n + -1] Multiply x * n ny = 2nx + 4x[n + -1] Reorder the terms: ny = 2nx + 4x[-1 + n] ny = 2nx + [-1 * 4x + n * 4x] Reorder the terms: ny = 2nx + [4nx + -4x] ny = 2nx + [4nx + -4x] Combine like terms: 2nx + 4nx = 6nx ny = 6nx + -4x Solving ny = 6nx + -4x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6nx' to each side of the equation. -6nx + ny = 6nx + -6nx + -4x Combine like terms: 6nx + -6nx = 0 -6nx + ny = 0 + -4x -6nx + ny = -4x Combine like terms: -4x + 4x = 0 -6nx + ny + 4x = 0 The solution to this equation could not be determined.
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