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Simplifying 7t + 294 = 3t + 378 Reorder the terms: 294 + 7t = 3t + 378 Reorder the terms: 294 + 7t = 378 + 3t Solving 294 + 7t = 378 + 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. 294 + 7t + -3t = 378 + 3t + -3t Combine like terms: 7t + -3t = 4t 294 + 4t = 378 + 3t + -3t Combine like terms: 3t + -3t = 0 294 + 4t = 378 + 0 294 + 4t = 378 Add '-294' to each side of the equation. 294 + -294 + 4t = 378 + -294 Combine like terms: 294 + -294 = 0 0 + 4t = 378 + -294 4t = 378 + -294 Combine like terms: 378 + -294 = 84 4t = 84 Divide each side by '4'. t = 21 Simplifying t = 21
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