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Simplifying y(n) = x(n) + -0.5x(n + -1) + -0.7x(n + -2) Multiply y * n ny = x(n) + -0.5x(n + -1) + -0.7x(n + -2) Multiply x * n ny = nx + -0.5x(n + -1) + -0.7x(n + -2) Reorder the terms: ny = nx + -0.5x(-1 + n) + -0.7x(n + -2) ny = nx + (-1 * -0.5x + n * -0.5x) + -0.7x(n + -2) Reorder the terms: ny = nx + (-0.5nx + 0.5x) + -0.7x(n + -2) ny = nx + (-0.5nx + 0.5x) + -0.7x(n + -2) Reorder the terms: ny = nx + -0.5nx + 0.5x + -0.7x(-2 + n) ny = nx + -0.5nx + 0.5x + (-2 * -0.7x + n * -0.7x) Reorder the terms: ny = nx + -0.5nx + 0.5x + (-0.7nx + 1.4x) ny = nx + -0.5nx + 0.5x + (-0.7nx + 1.4x) Reorder the terms: ny = nx + -0.5nx + -0.7nx + 0.5x + 1.4x Combine like terms: nx + -0.5nx = 0.5nx ny = 0.5nx + -0.7nx + 0.5x + 1.4x Combine like terms: 0.5nx + -0.7nx = -0.2nx ny = -0.2nx + 0.5x + 1.4x Combine like terms: 0.5x + 1.4x = 1.9x ny = -0.2nx + 1.9x Solving ny = -0.2nx + 1.9x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.2nx' to each side of the equation. 0.2nx + ny = -0.2nx + 0.2nx + 1.9x Combine like terms: -0.2nx + 0.2nx = 0.0 0.2nx + ny = 0.0 + 1.9x 0.2nx + ny = 1.9x Combine like terms: 1.9x + -1.9x = 0.0 0.2nx + ny + -1.9x = 0.0 The solution to this equation could not be determined.
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