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Simplifying y(n) = 3y(n + -1) + -0.3y(n + -2) + 0.5x(n) + -1x(n + -1) Multiply y * n ny = 3y(n + -1) + -0.3y(n + -2) + 0.5x(n) + -1x(n + -1) Reorder the terms: ny = 3y(-1 + n) + -0.3y(n + -2) + 0.5x(n) + -1x(n + -1) ny = (-1 * 3y + n * 3y) + -0.3y(n + -2) + 0.5x(n) + -1x(n + -1) Reorder the terms: ny = (3ny + -3y) + -0.3y(n + -2) + 0.5x(n) + -1x(n + -1) ny = (3ny + -3y) + -0.3y(n + -2) + 0.5x(n) + -1x(n + -1) Reorder the terms: ny = 3ny + -3y + -0.3y(-2 + n) + 0.5x(n) + -1x(n + -1) ny = 3ny + -3y + (-2 * -0.3y + n * -0.3y) + 0.5x(n) + -1x(n + -1) Reorder the terms: ny = 3ny + -3y + (-0.3ny + 0.6y) + 0.5x(n) + -1x(n + -1) ny = 3ny + -3y + (-0.3ny + 0.6y) + 0.5x(n) + -1x(n + -1) Multiply x * n ny = 3ny + -3y + -0.3ny + 0.6y + 0.5nx + -1x(n + -1) Reorder the terms: ny = 3ny + -3y + -0.3ny + 0.6y + 0.5nx + -1x(-1 + n) ny = 3ny + -3y + -0.3ny + 0.6y + 0.5nx + (-1 * -1x + n * -1x) Reorder the terms: ny = 3ny + -3y + -0.3ny + 0.6y + 0.5nx + (-1nx + 1x) ny = 3ny + -3y + -0.3ny + 0.6y + 0.5nx + (-1nx + 1x) Reorder the terms: ny = 0.5nx + -1nx + 3ny + -0.3ny + 1x + -3y + 0.6y Combine like terms: 0.5nx + -1nx = -0.5nx ny = -0.5nx + 3ny + -0.3ny + 1x + -3y + 0.6y Combine like terms: 3ny + -0.3ny = 2.7ny ny = -0.5nx + 2.7ny + 1x + -3y + 0.6y Combine like terms: -3y + 0.6y = -2.4y ny = -0.5nx + 2.7ny + 1x + -2.4y Solving ny = -0.5nx + 2.7ny + 1x + -2.4y Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.5nx' to each side of the equation. 0.5nx + ny = -0.5nx + 2.7ny + 1x + 0.5nx + -2.4y Reorder the terms: 0.5nx + ny = -0.5nx + 0.5nx + 2.7ny + 1x + -2.4y Combine like terms: -0.5nx + 0.5nx = 0.0 0.5nx + ny = 0.0 + 2.7ny + 1x + -2.4y 0.5nx + ny = 2.7ny + 1x + -2.4y Add '-2.7ny' to each side of the equation. 0.5nx + ny + -2.7ny = 2.7ny + 1x + -2.7ny + -2.4y Combine like terms: ny + -2.7ny = -1.7ny 0.5nx + -1.7ny = 2.7ny + 1x + -2.7ny + -2.4y Reorder the terms: 0.5nx + -1.7ny = 2.7ny + -2.7ny + 1x + -2.4y Combine like terms: 2.7ny + -2.7ny = 0.0 0.5nx + -1.7ny = 0.0 + 1x + -2.4y 0.5nx + -1.7ny = 1x + -2.4y Reorder the terms: 0.5nx + -1.7ny + -1x + 2.4y = 1x + -1x + -2.4y + 2.4y Combine like terms: 1x + -1x = 0 0.5nx + -1.7ny + -1x + 2.4y = 0 + -2.4y + 2.4y 0.5nx + -1.7ny + -1x + 2.4y = -2.4y + 2.4y Combine like terms: -2.4y + 2.4y = 0.0 0.5nx + -1.7ny + -1x + 2.4y = 0.0 The solution to this equation could not be determined.
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