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Simplifying 3t + 1 = 11t + 81 Reorder the terms: 1 + 3t = 11t + 81 Reorder the terms: 1 + 3t = 81 + 11t Solving 1 + 3t = 81 + 11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11t' to each side of the equation. 1 + 3t + -11t = 81 + 11t + -11t Combine like terms: 3t + -11t = -8t 1 + -8t = 81 + 11t + -11t Combine like terms: 11t + -11t = 0 1 + -8t = 81 + 0 1 + -8t = 81 Add '-1' to each side of the equation. 1 + -1 + -8t = 81 + -1 Combine like terms: 1 + -1 = 0 0 + -8t = 81 + -1 -8t = 81 + -1 Combine like terms: 81 + -1 = 80 -8t = 80 Divide each side by '-8'. t = -10 Simplifying t = -10
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