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Simplifying 5t + -1 = 2t + 7 Reorder the terms: -1 + 5t = 2t + 7 Reorder the terms: -1 + 5t = 7 + 2t Solving -1 + 5t = 7 + 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. -1 + 5t + -2t = 7 + 2t + -2t Combine like terms: 5t + -2t = 3t -1 + 3t = 7 + 2t + -2t Combine like terms: 2t + -2t = 0 -1 + 3t = 7 + 0 -1 + 3t = 7 Add '1' to each side of the equation. -1 + 1 + 3t = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 3t = 7 + 1 3t = 7 + 1 Combine like terms: 7 + 1 = 8 3t = 8 Divide each side by '3'. t = 2.666666667 Simplifying t = 2.666666667
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