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Simplifying t(n + 1) = 2n + -5 Reorder the terms: t(1 + n) = 2n + -5 (1 * t + n * t) = 2n + -5 Reorder the terms: (nt + 1t) = 2n + -5 (nt + 1t) = 2n + -5 Reorder the terms: nt + 1t = -5 + 2n Solving nt + 1t = -5 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. nt + -2n + 1t = -5 + 2n + -2n Reorder the terms: -2n + nt + 1t = -5 + 2n + -2n Combine like terms: 2n + -2n = 0 -2n + nt + 1t = -5 + 0 -2n + nt + 1t = -5 Add '-1t' to each side of the equation. -2n + nt + 1t + -1t = -5 + -1t Combine like terms: 1t + -1t = 0 -2n + nt + 0 = -5 + -1t -2n + nt = -5 + -1t Reorder the terms: 5 + -2n + nt + t = -5 + -1t + 5 + t Reorder the terms: 5 + -2n + nt + t = -5 + 5 + -1t + t Combine like terms: -5 + 5 = 0 5 + -2n + nt + t = 0 + -1t + t 5 + -2n + nt + t = -1t + t Combine like terms: -1t + t = 0 5 + -2n + nt + t = 0 The solution to this equation could not be determined.
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