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Simplifying 11t + 3 + -8t = 40 + -3t + -1 Reorder the terms: 3 + 11t + -8t = 40 + -3t + -1 Combine like terms: 11t + -8t = 3t 3 + 3t = 40 + -3t + -1 Reorder the terms: 3 + 3t = 40 + -1 + -3t Combine like terms: 40 + -1 = 39 3 + 3t = 39 + -3t Solving 3 + 3t = 39 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 3 + 3t + 3t = 39 + -3t + 3t Combine like terms: 3t + 3t = 6t 3 + 6t = 39 + -3t + 3t Combine like terms: -3t + 3t = 0 3 + 6t = 39 + 0 3 + 6t = 39 Add '-3' to each side of the equation. 3 + -3 + 6t = 39 + -3 Combine like terms: 3 + -3 = 0 0 + 6t = 39 + -3 6t = 39 + -3 Combine like terms: 39 + -3 = 36 6t = 36 Divide each side by '6'. t = 6 Simplifying t = 6
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