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Simplifying 5t + -8 = 38 + -1t Reorder the terms: -8 + 5t = 38 + -1t Solving -8 + 5t = 38 + -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. -8 + 5t + t = 38 + -1t + t Combine like terms: 5t + t = 6t -8 + 6t = 38 + -1t + t Combine like terms: -1t + t = 0 -8 + 6t = 38 + 0 -8 + 6t = 38 Add '8' to each side of the equation. -8 + 8 + 6t = 38 + 8 Combine like terms: -8 + 8 = 0 0 + 6t = 38 + 8 6t = 38 + 8 Combine like terms: 38 + 8 = 46 6t = 46 Divide each side by '6'. t = 7.666666667 Simplifying t = 7.666666667
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