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Simplifying 3t + 5 + 5t + -7t = 6 + 5 Reorder the terms: 5 + 3t + 5t + -7t = 6 + 5 Combine like terms: 3t + 5t = 8t 5 + 8t + -7t = 6 + 5 Combine like terms: 8t + -7t = 1t 5 + 1t = 6 + 5 Combine like terms: 6 + 5 = 11 5 + 1t = 11 Solving 5 + 1t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1t = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 1t = 11 + -5 1t = 11 + -5 Combine like terms: 11 + -5 = 6 1t = 6 Divide each side by '1'. t = 6 Simplifying t = 6
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