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Simplifying y[n] + -0.3y[n + -1] + 0.1[n + -2] + -0.037y[n + -3] = x[n] Multiply y * n ny + -0.3y[n + -1] + 0.1[n + -2] + -0.037y[n + -3] = x[n] Reorder the terms: ny + -0.3y[-1 + n] + 0.1[n + -2] + -0.037y[n + -3] = x[n] ny + [-1 * -0.3y + n * -0.3y] + 0.1[n + -2] + -0.037y[n + -3] = x[n] Reorder the terms: ny + [-0.3ny + 0.3y] + 0.1[n + -2] + -0.037y[n + -3] = x[n] ny + [-0.3ny + 0.3y] + 0.1[n + -2] + -0.037y[n + -3] = x[n] Reorder the terms: ny + -0.3ny + 0.3y + 0.1[-2 + n] + -0.037y[n + -3] = x[n] ny + -0.3ny + 0.3y + [-2 * 0.1 + n * 0.1] + -0.037y[n + -3] = x[n] ny + -0.3ny + 0.3y + [-0.2 + 0.1n] + -0.037y[n + -3] = x[n] Reorder the terms: ny + -0.3ny + 0.3y + -0.2 + 0.1n + -0.037y[-3 + n] = x[n] ny + -0.3ny + 0.3y + -0.2 + 0.1n + [-3 * -0.037y + n * -0.037y] = x[n] Reorder the terms: ny + -0.3ny + 0.3y + -0.2 + 0.1n + [-0.037ny + 0.111y] = x[n] ny + -0.3ny + 0.3y + -0.2 + 0.1n + [-0.037ny + 0.111y] = x[n] Reorder the terms: -0.2 + 0.1n + ny + -0.3ny + -0.037ny + 0.3y + 0.111y = x[n] Combine like terms: ny + -0.3ny = 0.7ny -0.2 + 0.1n + 0.7ny + -0.037ny + 0.3y + 0.111y = x[n] Combine like terms: 0.7ny + -0.037ny = 0.663ny -0.2 + 0.1n + 0.663ny + 0.3y + 0.111y = x[n] Combine like terms: 0.3y + 0.111y = 0.411y -0.2 + 0.1n + 0.663ny + 0.411y = x[n] Multiply x * n -0.2 + 0.1n + 0.663ny + 0.411y = nx Solving -0.2 + 0.1n + 0.663ny + 0.411y = nx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1nx' to each side of the equation. -0.2 + 0.1n + 0.663ny + -1nx + 0.411y = nx + -1nx Reorder the terms: -0.2 + 0.1n + -1nx + 0.663ny + 0.411y = nx + -1nx Combine like terms: nx + -1nx = 0 -0.2 + 0.1n + -1nx + 0.663ny + 0.411y = 0 Add '0.2' to each side of the equation. -0.2 + 0.1n + -1nx + 0.663ny + 0.2 + 0.411y = 0 + 0.2 Reorder the terms: -0.2 + 0.2 + 0.1n + -1nx + 0.663ny + 0.411y = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.1n + -1nx + 0.663ny + 0.411y = 0 + 0.2 0.1n + -1nx + 0.663ny + 0.411y = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 0.1n + -1nx + 0.663ny + 0.411y = 0.2 Add '-0.411y' to each side of the equation. 0.1n + -1nx + 0.663ny + 0.411y + -0.411y = 0.2 + -0.411y Combine like terms: 0.411y + -0.411y = 0.000 0.1n + -1nx + 0.663ny + 0.000 = 0.2 + -0.411y 0.1n + -1nx + 0.663ny = 0.2 + -0.411y Reorder the terms: -0.2 + 0.1n + -1nx + 0.663ny + 0.411y = 0.2 + -0.411y + -0.2 + 0.411y Reorder the terms: -0.2 + 0.1n + -1nx + 0.663ny + 0.411y = 0.2 + -0.2 + -0.411y + 0.411y Combine like terms: 0.2 + -0.2 = 0.0 -0.2 + 0.1n + -1nx + 0.663ny + 0.411y = 0.0 + -0.411y + 0.411y -0.2 + 0.1n + -1nx + 0.663ny + 0.411y = -0.411y + 0.411y Combine like terms: -0.411y + 0.411y = 0.000 -0.2 + 0.1n + -1nx + 0.663ny + 0.411y = 0.000 The solution to this equation could not be determined.
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