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Simplifying 7t + 3 = 5t + -1 Reorder the terms: 3 + 7t = 5t + -1 Reorder the terms: 3 + 7t = -1 + 5t Solving 3 + 7t = -1 + 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. 3 + 7t + -5t = -1 + 5t + -5t Combine like terms: 7t + -5t = 2t 3 + 2t = -1 + 5t + -5t Combine like terms: 5t + -5t = 0 3 + 2t = -1 + 0 3 + 2t = -1 Add '-3' to each side of the equation. 3 + -3 + 2t = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 2t = -1 + -3 2t = -1 + -3 Combine like terms: -1 + -3 = -4 2t = -4 Divide each side by '2'. t = -2 Simplifying t = -2
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