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Simplifying 7t + 6 = 5t + 13 Reorder the terms: 6 + 7t = 5t + 13 Reorder the terms: 6 + 7t = 13 + 5t Solving 6 + 7t = 13 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 6 + 7t + -5t = 13 + 5t + -5t Combine like terms: 7t + -5t = 2t 6 + 2t = 13 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + 2t = 13 + 0 6 + 2t = 13 Add '-6' to each side of the equation. 6 + -6 + 2t = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 2t = 13 + -6 2t = 13 + -6 Combine like terms: 13 + -6 = 7 2t = 7 Divide each side by '2'. t = 3.5 Simplifying t = 3.5
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