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