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Simplifying 9 + 8t + -2 = 9t + 13 + -7t Reorder the terms: 9 + -2 + 8t = 9t + 13 + -7t Combine like terms: 9 + -2 = 7 7 + 8t = 9t + 13 + -7t Reorder the terms: 7 + 8t = 13 + 9t + -7t Combine like terms: 9t + -7t = 2t 7 + 8t = 13 + 2t Solving 7 + 8t = 13 + 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. 7 + 8t + -2t = 13 + 2t + -2t Combine like terms: 8t + -2t = 6t 7 + 6t = 13 + 2t + -2t Combine like terms: 2t + -2t = 0 7 + 6t = 13 + 0 7 + 6t = 13 Add '-7' to each side of the equation. 7 + -7 + 6t = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 6t = 13 + -7 6t = 13 + -7 Combine like terms: 13 + -7 = 6 6t = 6 Divide each side by '6'. t = 1 Simplifying t = 1
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