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Simplifying 5 + 11t + -2 = 8t + 39 + -6t Reorder the terms: 5 + -2 + 11t = 8t + 39 + -6t Combine like terms: 5 + -2 = 3 3 + 11t = 8t + 39 + -6t Reorder the terms: 3 + 11t = 39 + 8t + -6t Combine like terms: 8t + -6t = 2t 3 + 11t = 39 + 2t Solving 3 + 11t = 39 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 3 + 11t + -2t = 39 + 2t + -2t Combine like terms: 11t + -2t = 9t 3 + 9t = 39 + 2t + -2t Combine like terms: 2t + -2t = 0 3 + 9t = 39 + 0 3 + 9t = 39 Add '-3' to each side of the equation. 3 + -3 + 9t = 39 + -3 Combine like terms: 3 + -3 = 0 0 + 9t = 39 + -3 9t = 39 + -3 Combine like terms: 39 + -3 = 36 9t = 36 Divide each side by '9'. t = 4 Simplifying t = 4
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