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Simplifying 5t + 5 + 2t + -6t = 2 + 6 Reorder the terms: 5 + 5t + 2t + -6t = 2 + 6 Combine like terms: 5t + 2t = 7t 5 + 7t + -6t = 2 + 6 Combine like terms: 7t + -6t = 1t 5 + 1t = 2 + 6 Combine like terms: 2 + 6 = 8 5 + 1t = 8 Solving 5 + 1t = 8 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 = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1t = 8 + -5 1t = 8 + -5 Combine like terms: 8 + -5 = 3 1t = 3 Divide each side by '1'. t = 3 Simplifying t = 3
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