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Simplifying 3t + 5 = 8 + -4t Reorder the terms: 5 + 3t = 8 + -4t Solving 5 + 3t = 8 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 5 + 3t + 4t = 8 + -4t + 4t Combine like terms: 3t + 4t = 7t 5 + 7t = 8 + -4t + 4t Combine like terms: -4t + 4t = 0 5 + 7t = 8 + 0 5 + 7t = 8 Add '-5' to each side of the equation. 5 + -5 + 7t = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 7t = 8 + -5 7t = 8 + -5 Combine like terms: 8 + -5 = 3 7t = 3 Divide each side by '7'. t = 0.4285714286 Simplifying t = 0.4285714286
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