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Simplifying 7 + 6t + -6 = 8t + 37 + -6t Reorder the terms: 7 + -6 + 6t = 8t + 37 + -6t Combine like terms: 7 + -6 = 1 1 + 6t = 8t + 37 + -6t Reorder the terms: 1 + 6t = 37 + 8t + -6t Combine like terms: 8t + -6t = 2t 1 + 6t = 37 + 2t Solving 1 + 6t = 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 + 6t + -2t = 37 + 2t + -2t Combine like terms: 6t + -2t = 4t 1 + 4t = 37 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + 4t = 37 + 0 1 + 4t = 37 Add '-1' to each side of the equation. 1 + -1 + 4t = 37 + -1 Combine like terms: 1 + -1 = 0 0 + 4t = 37 + -1 4t = 37 + -1 Combine like terms: 37 + -1 = 36 4t = 36 Divide each side by '4'. t = 9 Simplifying t = 9
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