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Simplifying 7t + 23 = 4t + 38 Reorder the terms: 23 + 7t = 4t + 38 Reorder the terms: 23 + 7t = 38 + 4t Solving 23 + 7t = 38 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 23 + 7t + -4t = 38 + 4t + -4t Combine like terms: 7t + -4t = 3t 23 + 3t = 38 + 4t + -4t Combine like terms: 4t + -4t = 0 23 + 3t = 38 + 0 23 + 3t = 38 Add '-23' to each side of the equation. 23 + -23 + 3t = 38 + -23 Combine like terms: 23 + -23 = 0 0 + 3t = 38 + -23 3t = 38 + -23 Combine like terms: 38 + -23 = 15 3t = 15 Divide each side by '3'. t = 5 Simplifying t = 5
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