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Simplifying 7t + -1 = (3t + 7) + 2t Reorder the terms: -1 + 7t = (3t + 7) + 2t Reorder the terms: -1 + 7t = (7 + 3t) + 2t Remove parenthesis around (7 + 3t) -1 + 7t = 7 + 3t + 2t Combine like terms: 3t + 2t = 5t -1 + 7t = 7 + 5t Solving -1 + 7t = 7 + 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. -1 + 7t + -5t = 7 + 5t + -5t Combine like terms: 7t + -5t = 2t -1 + 2t = 7 + 5t + -5t Combine like terms: 5t + -5t = 0 -1 + 2t = 7 + 0 -1 + 2t = 7 Add '1' to each side of the equation. -1 + 1 + 2t = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 2t = 7 + 1 2t = 7 + 1 Combine like terms: 7 + 1 = 8 2t = 8 Divide each side by '2'. t = 4 Simplifying t = 4
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