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Simplifying 6t + 5t + -2t + 8 = 71 Reorder the terms: 8 + 6t + 5t + -2t = 71 Combine like terms: 6t + 5t = 11t 8 + 11t + -2t = 71 Combine like terms: 11t + -2t = 9t 8 + 9t = 71 Solving 8 + 9t = 71 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9t = 71 + -8 Combine like terms: 8 + -8 = 0 0 + 9t = 71 + -8 9t = 71 + -8 Combine like terms: 71 + -8 = 63 9t = 63 Divide each side by '9'. t = 7 Simplifying t = 7
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