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Simplifying 3 + 5 + t + -11t = 14 + -1t + -1t Combine like terms: 3 + 5 = 8 8 + t + -11t = 14 + -1t + -1t Combine like terms: t + -11t = -10t 8 + -10t = 14 + -1t + -1t Combine like terms: -1t + -1t = -2t 8 + -10t = 14 + -2t Solving 8 + -10t = 14 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 8 + -10t + 2t = 14 + -2t + 2t Combine like terms: -10t + 2t = -8t 8 + -8t = 14 + -2t + 2t Combine like terms: -2t + 2t = 0 8 + -8t = 14 + 0 8 + -8t = 14 Add '-8' to each side of the equation. 8 + -8 + -8t = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -8t = 14 + -8 -8t = 14 + -8 Combine like terms: 14 + -8 = 6 -8t = 6 Divide each side by '-8'. t = -0.75 Simplifying t = -0.75
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