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Simplifying 5t + 1 + 2t + -6t = 2 + 5 Reorder the terms: 1 + 5t + 2t + -6t = 2 + 5 Combine like terms: 5t + 2t = 7t 1 + 7t + -6t = 2 + 5 Combine like terms: 7t + -6t = 1t 1 + 1t = 2 + 5 Combine like terms: 2 + 5 = 7 1 + 1t = 7 Solving 1 + 1t = 7 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 = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1t = 7 + -1 1t = 7 + -1 Combine like terms: 7 + -1 = 6 1t = 6 Divide each side by '1'. t = 6 Simplifying t = 6
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