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Simplifying 7 + 8t + -2 = 9t + 53 + -7t Reorder the terms: 7 + -2 + 8t = 9t + 53 + -7t Combine like terms: 7 + -2 = 5 5 + 8t = 9t + 53 + -7t Reorder the terms: 5 + 8t = 53 + 9t + -7t Combine like terms: 9t + -7t = 2t 5 + 8t = 53 + 2t Solving 5 + 8t = 53 + 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. 5 + 8t + -2t = 53 + 2t + -2t Combine like terms: 8t + -2t = 6t 5 + 6t = 53 + 2t + -2t Combine like terms: 2t + -2t = 0 5 + 6t = 53 + 0 5 + 6t = 53 Add '-5' to each side of the equation. 5 + -5 + 6t = 53 + -5 Combine like terms: 5 + -5 = 0 0 + 6t = 53 + -5 6t = 53 + -5 Combine like terms: 53 + -5 = 48 6t = 48 Divide each side by '6'. t = 8 Simplifying t = 8
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