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Simplifying (3t + 5) + -2 = 8 Reorder the terms: (5 + 3t) + -2 = 8 Remove parenthesis around (5 + 3t) 5 + 3t + -2 = 8 Reorder the terms: 5 + -2 + 3t = 8 Combine like terms: 5 + -2 = 3 3 + 3t = 8 Solving 3 + 3t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3t = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 3t = 8 + -3 3t = 8 + -3 Combine like terms: 8 + -3 = 5 3t = 5 Divide each side by '3'. t = 1.666666667 Simplifying t = 1.666666667
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