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Simplifying 2t + -3 = 9 + -4 + -1t Reorder the terms: -3 + 2t = 9 + -4 + -1t Combine like terms: 9 + -4 = 5 -3 + 2t = 5 + -1t Solving -3 + 2t = 5 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -3 + 2t + t = 5 + -1t + t Combine like terms: 2t + t = 3t -3 + 3t = 5 + -1t + t Combine like terms: -1t + t = 0 -3 + 3t = 5 + 0 -3 + 3t = 5 Add '3' to each side of the equation. -3 + 3 + 3t = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 3t = 5 + 3 3t = 5 + 3 Combine like terms: 5 + 3 = 8 3t = 8 Divide each side by '3'. t = 2.666666667 Simplifying t = 2.666666667
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