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Simplifying t(n + 1) = t(n) + 7 Reorder the terms: t(1 + n) = t(n) + 7 (1 * t + n * t) = t(n) + 7 Reorder the terms: (nt + 1t) = t(n) + 7 (nt + 1t) = t(n) + 7 Multiply t * n nt + 1t = nt + 7 Reorder the terms: nt + 1t = 7 + nt Add '-1nt' to each side of the equation. nt + -1nt + 1t = 7 + nt + -1nt Combine like terms: nt + -1nt = 0 0 + 1t = 7 + nt + -1nt 1t = 7 + nt + -1nt Combine like terms: nt + -1nt = 0 1t = 7 + 0 1t = 7 Solving 1t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Divide each side by '1'. t = 7 Simplifying t = 7
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