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Simplifying 5t + 3 + 3t + -7t = 5 + 2 Reorder the terms: 3 + 5t + 3t + -7t = 5 + 2 Combine like terms: 5t + 3t = 8t 3 + 8t + -7t = 5 + 2 Combine like terms: 8t + -7t = 1t 3 + 1t = 5 + 2 Combine like terms: 5 + 2 = 7 3 + 1t = 7 Solving 3 + 1t = 7 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 + 1t = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1t = 7 + -3 1t = 7 + -3 Combine like terms: 7 + -3 = 4 1t = 4 Divide each side by '1'. t = 4 Simplifying t = 4
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