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Simplifying 74t + 28t + -101t + 16 = 89 Reorder the terms: 16 + 74t + 28t + -101t = 89 Combine like terms: 74t + 28t = 102t 16 + 102t + -101t = 89 Combine like terms: 102t + -101t = 1t 16 + 1t = 89 Solving 16 + 1t = 89 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1t = 89 + -16 Combine like terms: 16 + -16 = 0 0 + 1t = 89 + -16 1t = 89 + -16 Combine like terms: 89 + -16 = 73 1t = 73 Divide each side by '1'. t = 73 Simplifying t = 73
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