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Simplifying y(n) = x(n) + 0.7x(n + -1) + 0.12x(n + -2) Multiply y * n ny = x(n) + 0.7x(n + -1) + 0.12x(n + -2) Multiply x * n ny = nx + 0.7x(n + -1) + 0.12x(n + -2) Reorder the terms: ny = nx + 0.7x(-1 + n) + 0.12x(n + -2) ny = nx + (-1 * 0.7x + n * 0.7x) + 0.12x(n + -2) Reorder the terms: ny = nx + (0.7nx + -0.7x) + 0.12x(n + -2) ny = nx + (0.7nx + -0.7x) + 0.12x(n + -2) Reorder the terms: ny = nx + 0.7nx + -0.7x + 0.12x(-2 + n) ny = nx + 0.7nx + -0.7x + (-2 * 0.12x + n * 0.12x) Reorder the terms: ny = nx + 0.7nx + -0.7x + (0.12nx + -0.24x) ny = nx + 0.7nx + -0.7x + (0.12nx + -0.24x) Reorder the terms: ny = nx + 0.7nx + 0.12nx + -0.7x + -0.24x Combine like terms: nx + 0.7nx = 1.7nx ny = 1.7nx + 0.12nx + -0.7x + -0.24x Combine like terms: 1.7nx + 0.12nx = 1.82nx ny = 1.82nx + -0.7x + -0.24x Combine like terms: -0.7x + -0.24x = -0.94x ny = 1.82nx + -0.94x Solving ny = 1.82nx + -0.94x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.82nx' to each side of the equation. -1.82nx + ny = 1.82nx + -1.82nx + -0.94x Combine like terms: 1.82nx + -1.82nx = 0.00 -1.82nx + ny = 0.00 + -0.94x -1.82nx + ny = -0.94x Combine like terms: -0.94x + 0.94x = 0.00 -1.82nx + ny + 0.94x = 0.00 The solution to this equation could not be determined.
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