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Simplifying 7t + 2 = 94 + 3t Reorder the terms: 2 + 7t = 94 + 3t Solving 2 + 7t = 94 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 2 + 7t + -3t = 94 + 3t + -3t Combine like terms: 7t + -3t = 4t 2 + 4t = 94 + 3t + -3t Combine like terms: 3t + -3t = 0 2 + 4t = 94 + 0 2 + 4t = 94 Add '-2' to each side of the equation. 2 + -2 + 4t = 94 + -2 Combine like terms: 2 + -2 = 0 0 + 4t = 94 + -2 4t = 94 + -2 Combine like terms: 94 + -2 = 92 4t = 92 Divide each side by '4'. t = 23 Simplifying t = 23
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