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Simplifying 5t + 90 + -3t + -24 = 100 Reorder the terms: 90 + -24 + 5t + -3t = 100 Combine like terms: 90 + -24 = 66 66 + 5t + -3t = 100 Combine like terms: 5t + -3t = 2t 66 + 2t = 100 Solving 66 + 2t = 100 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 2t = 100 + -66 Combine like terms: 66 + -66 = 0 0 + 2t = 100 + -66 2t = 100 + -66 Combine like terms: 100 + -66 = 34 2t = 34 Divide each side by '2'. t = 17 Simplifying t = 17
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