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Simplifying 3t + -1t + 8t + -5 + 6t = -1t + -1t + -1t + 6 Reorder the terms: -5 + 3t + -1t + 8t + 6t = -1t + -1t + -1t + 6 Combine like terms: 3t + -1t = 2t -5 + 2t + 8t + 6t = -1t + -1t + -1t + 6 Combine like terms: 2t + 8t = 10t -5 + 10t + 6t = -1t + -1t + -1t + 6 Combine like terms: 10t + 6t = 16t -5 + 16t = -1t + -1t + -1t + 6 Reorder the terms: -5 + 16t = 6 + -1t + -1t + -1t Combine like terms: -1t + -1t = -2t -5 + 16t = 6 + -2t + -1t Combine like terms: -2t + -1t = -3t -5 + 16t = 6 + -3t Solving -5 + 16t = 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. -5 + 16t + 3t = 6 + -3t + 3t Combine like terms: 16t + 3t = 19t -5 + 19t = 6 + -3t + 3t Combine like terms: -3t + 3t = 0 -5 + 19t = 6 + 0 -5 + 19t = 6 Add '5' to each side of the equation. -5 + 5 + 19t = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 19t = 6 + 5 19t = 6 + 5 Combine like terms: 6 + 5 = 11 19t = 11 Divide each side by '19'. t = 0.5789473684 Simplifying t = 0.5789473684
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