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Simplifying 6 + 11t + -5 = 6t + 37 + -4t Reorder the terms: 6 + -5 + 11t = 6t + 37 + -4t Combine like terms: 6 + -5 = 1 1 + 11t = 6t + 37 + -4t Reorder the terms: 1 + 11t = 37 + 6t + -4t Combine like terms: 6t + -4t = 2t 1 + 11t = 37 + 2t Solving 1 + 11t = 37 + 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. 1 + 11t + -2t = 37 + 2t + -2t Combine like terms: 11t + -2t = 9t 1 + 9t = 37 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + 9t = 37 + 0 1 + 9t = 37 Add '-1' to each side of the equation. 1 + -1 + 9t = 37 + -1 Combine like terms: 1 + -1 = 0 0 + 9t = 37 + -1 9t = 37 + -1 Combine like terms: 37 + -1 = 36 9t = 36 Divide each side by '9'. t = 4 Simplifying t = 4
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