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Simplifying 8 + 9t + -7 = 9t + 57 + -7t Reorder the terms: 8 + -7 + 9t = 9t + 57 + -7t Combine like terms: 8 + -7 = 1 1 + 9t = 9t + 57 + -7t Reorder the terms: 1 + 9t = 57 + 9t + -7t Combine like terms: 9t + -7t = 2t 1 + 9t = 57 + 2t Solving 1 + 9t = 57 + 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 + 9t + -2t = 57 + 2t + -2t Combine like terms: 9t + -2t = 7t 1 + 7t = 57 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + 7t = 57 + 0 1 + 7t = 57 Add '-1' to each side of the equation. 1 + -1 + 7t = 57 + -1 Combine like terms: 1 + -1 = 0 0 + 7t = 57 + -1 7t = 57 + -1 Combine like terms: 57 + -1 = 56 7t = 56 Divide each side by '7'. t = 8 Simplifying t = 8
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