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Simplifying 3t + -1t + 8t + -5t + 6t = -1t + -1t + -1t + 6 Combine like terms: 3t + -1t = 2t 2t + 8t + -5t + 6t = -1t + -1t + -1t + 6 Combine like terms: 2t + 8t = 10t 10t + -5t + 6t = -1t + -1t + -1t + 6 Combine like terms: 10t + -5t = 5t 5t + 6t = -1t + -1t + -1t + 6 Combine like terms: 5t + 6t = 11t 11t = -1t + -1t + -1t + 6 Reorder the terms: 11t = 6 + -1t + -1t + -1t Combine like terms: -1t + -1t = -2t 11t = 6 + -2t + -1t Combine like terms: -2t + -1t = -3t 11t = 6 + -3t Solving 11t = 6 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 11t + 3t = 6 + -3t + 3t Combine like terms: 11t + 3t = 14t 14t = 6 + -3t + 3t Combine like terms: -3t + 3t = 0 14t = 6 + 0 14t = 6 Divide each side by '14'. t = 0.4285714286 Simplifying t = 0.4285714286
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