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Simplifying 5t + 1 + 3t + -7t = 6 + 3 Reorder the terms: 1 + 5t + 3t + -7t = 6 + 3 Combine like terms: 5t + 3t = 8t 1 + 8t + -7t = 6 + 3 Combine like terms: 8t + -7t = 1t 1 + 1t = 6 + 3 Combine like terms: 6 + 3 = 9 1 + 1t = 9 Solving 1 + 1t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1t = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1t = 9 + -1 1t = 9 + -1 Combine like terms: 9 + -1 = 8 1t = 8 Divide each side by '1'. t = 8 Simplifying t = 8
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