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Simplifying -1t + 5 = 3t + 8 Reorder the terms: 5 + -1t = 3t + 8 Reorder the terms: 5 + -1t = 8 + 3t Solving 5 + -1t = 8 + 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 + -1t + -3t = 8 + 3t + -3t Combine like terms: -1t + -3t = -4t 5 + -4t = 8 + 3t + -3t Combine like terms: 3t + -3t = 0 5 + -4t = 8 + 0 5 + -4t = 8 Add '-5' to each side of the equation. 5 + -5 + -4t = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = 8 + -5 -4t = 8 + -5 Combine like terms: 8 + -5 = 3 -4t = 3 Divide each side by '-4'. t = -0.75 Simplifying t = -0.75
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