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Simplifying 5t + 1 + 2t + -6t = 6 + 2 Reorder the terms: 1 + 5t + 2t + -6t = 6 + 2 Combine like terms: 5t + 2t = 7t 1 + 7t + -6t = 6 + 2 Combine like terms: 7t + -6t = 1t 1 + 1t = 6 + 2 Combine like terms: 6 + 2 = 8 1 + 1t = 8 Solving 1 + 1t = 8 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 = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1t = 8 + -1 1t = 8 + -1 Combine like terms: 8 + -1 = 7 1t = 7 Divide each side by '1'. t = 7 Simplifying t = 7
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