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Simplifying 9 + 7t + -8 = 9t + 31 + -7t Reorder the terms: 9 + -8 + 7t = 9t + 31 + -7t Combine like terms: 9 + -8 = 1 1 + 7t = 9t + 31 + -7t Reorder the terms: 1 + 7t = 31 + 9t + -7t Combine like terms: 9t + -7t = 2t 1 + 7t = 31 + 2t Solving 1 + 7t = 31 + 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 + 7t + -2t = 31 + 2t + -2t Combine like terms: 7t + -2t = 5t 1 + 5t = 31 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + 5t = 31 + 0 1 + 5t = 31 Add '-1' to each side of the equation. 1 + -1 + 5t = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 5t = 31 + -1 5t = 31 + -1 Combine like terms: 31 + -1 = 30 5t = 30 Divide each side by '5'. t = 6 Simplifying t = 6
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