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Simplifying x[n] = y[n] + -0.1y[n + -1] + -0.2y[n + -2] Multiply x * n nx = y[n] + -0.1y[n + -1] + -0.2y[n + -2] Multiply y * n nx = ny + -0.1y[n + -1] + -0.2y[n + -2] Reorder the terms: nx = ny + -0.1y[-1 + n] + -0.2y[n + -2] nx = ny + [-1 * -0.1y + n * -0.1y] + -0.2y[n + -2] Reorder the terms: nx = ny + [-0.1ny + 0.1y] + -0.2y[n + -2] nx = ny + [-0.1ny + 0.1y] + -0.2y[n + -2] Reorder the terms: nx = ny + -0.1ny + 0.1y + -0.2y[-2 + n] nx = ny + -0.1ny + 0.1y + [-2 * -0.2y + n * -0.2y] Reorder the terms: nx = ny + -0.1ny + 0.1y + [-0.2ny + 0.4y] nx = ny + -0.1ny + 0.1y + [-0.2ny + 0.4y] Reorder the terms: nx = ny + -0.1ny + -0.2ny + 0.1y + 0.4y Combine like terms: ny + -0.1ny = 0.9ny nx = 0.9ny + -0.2ny + 0.1y + 0.4y Combine like terms: 0.9ny + -0.2ny = 0.7ny nx = 0.7ny + 0.1y + 0.4y Combine like terms: 0.1y + 0.4y = 0.5y nx = 0.7ny + 0.5y Solving nx = 0.7ny + 0.5y Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.7ny' to each side of the equation. nx + -0.7ny = 0.7ny + -0.7ny + 0.5y Combine like terms: 0.7ny + -0.7ny = 0.0 nx + -0.7ny = 0.0 + 0.5y nx + -0.7ny = 0.5y Combine like terms: 0.5y + -0.5y = 0.0 nx + -0.7ny + -0.5y = 0.0 The solution to this equation could not be determined.
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