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Simplifying 9 + 7t + -6 = 8t + 13 + -6t Reorder the terms: 9 + -6 + 7t = 8t + 13 + -6t Combine like terms: 9 + -6 = 3 3 + 7t = 8t + 13 + -6t Reorder the terms: 3 + 7t = 13 + 8t + -6t Combine like terms: 8t + -6t = 2t 3 + 7t = 13 + 2t Solving 3 + 7t = 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. 3 + 7t + -2t = 13 + 2t + -2t Combine like terms: 7t + -2t = 5t 3 + 5t = 13 + 2t + -2t Combine like terms: 2t + -2t = 0 3 + 5t = 13 + 0 3 + 5t = 13 Add '-3' to each side of the equation. 3 + -3 + 5t = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 5t = 13 + -3 5t = 13 + -3 Combine like terms: 13 + -3 = 10 5t = 10 Divide each side by '5'. t = 2 Simplifying t = 2
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