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Simplifying t(n + 1) = 4.5n + -8 Reorder the terms: t(1 + n) = 4.5n + -8 (1 * t + n * t) = 4.5n + -8 Reorder the terms: (nt + 1t) = 4.5n + -8 (nt + 1t) = 4.5n + -8 Reorder the terms: nt + 1t = -8 + 4.5n Solving nt + 1t = -8 + 4.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4.5n' to each side of the equation. nt + -4.5n + 1t = -8 + 4.5n + -4.5n Reorder the terms: -4.5n + nt + 1t = -8 + 4.5n + -4.5n Combine like terms: 4.5n + -4.5n = 0.0 -4.5n + nt + 1t = -8 + 0.0 -4.5n + nt + 1t = -8 Add '-1t' to each side of the equation. -4.5n + nt + 1t + -1t = -8 + -1t Combine like terms: 1t + -1t = 0 -4.5n + nt + 0 = -8 + -1t -4.5n + nt = -8 + -1t Reorder the terms: 8 + -4.5n + nt + t = -8 + -1t + 8 + t Reorder the terms: 8 + -4.5n + nt + t = -8 + 8 + -1t + t Combine like terms: -8 + 8 = 0 8 + -4.5n + nt + t = 0 + -1t + t 8 + -4.5n + nt + t = -1t + t Combine like terms: -1t + t = 0 8 + -4.5n + nt + t = 0 The solution to this equation could not be determined.
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