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Simplifying 3t + 8 = 43 + -3t Reorder the terms: 8 + 3t = 43 + -3t Solving 8 + 3t = 43 + -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. 8 + 3t + 3t = 43 + -3t + 3t Combine like terms: 3t + 3t = 6t 8 + 6t = 43 + -3t + 3t Combine like terms: -3t + 3t = 0 8 + 6t = 43 + 0 8 + 6t = 43 Add '-8' to each side of the equation. 8 + -8 + 6t = 43 + -8 Combine like terms: 8 + -8 = 0 0 + 6t = 43 + -8 6t = 43 + -8 Combine like terms: 43 + -8 = 35 6t = 35 Divide each side by '6'. t = 5.833333333 Simplifying t = 5.833333333
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