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Simplifying y[n] = 0.3x[n] + 0.2x[n + -1] + 0.1x[n + -2] Multiply y * n ny = 0.3x[n] + 0.2x[n + -1] + 0.1x[n + -2] Multiply x * n ny = 0.3nx + 0.2x[n + -1] + 0.1x[n + -2] Reorder the terms: ny = 0.3nx + 0.2x[-1 + n] + 0.1x[n + -2] ny = 0.3nx + [-1 * 0.2x + n * 0.2x] + 0.1x[n + -2] Reorder the terms: ny = 0.3nx + [0.2nx + -0.2x] + 0.1x[n + -2] ny = 0.3nx + [0.2nx + -0.2x] + 0.1x[n + -2] Reorder the terms: ny = 0.3nx + 0.2nx + -0.2x + 0.1x[-2 + n] ny = 0.3nx + 0.2nx + -0.2x + [-2 * 0.1x + n * 0.1x] Reorder the terms: ny = 0.3nx + 0.2nx + -0.2x + [0.1nx + -0.2x] ny = 0.3nx + 0.2nx + -0.2x + [0.1nx + -0.2x] Reorder the terms: ny = 0.3nx + 0.2nx + 0.1nx + -0.2x + -0.2x Combine like terms: 0.3nx + 0.2nx = 0.5nx ny = 0.5nx + 0.1nx + -0.2x + -0.2x Combine like terms: 0.5nx + 0.1nx = 0.6nx ny = 0.6nx + -0.2x + -0.2x Combine like terms: -0.2x + -0.2x = -0.4x ny = 0.6nx + -0.4x Solving ny = 0.6nx + -0.4x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.6nx' to each side of the equation. -0.6nx + ny = 0.6nx + -0.6nx + -0.4x Combine like terms: 0.6nx + -0.6nx = 0.0 -0.6nx + ny = 0.0 + -0.4x -0.6nx + ny = -0.4x Combine like terms: -0.4x + 0.4x = 0.0 -0.6nx + ny + 0.4x = 0.0 The solution to this equation could not be determined.
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