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Simplifying 10t + 3 = 3t + 38 Reorder the terms: 3 + 10t = 3t + 38 Reorder the terms: 3 + 10t = 38 + 3t Solving 3 + 10t = 38 + 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. 3 + 10t + -3t = 38 + 3t + -3t Combine like terms: 10t + -3t = 7t 3 + 7t = 38 + 3t + -3t Combine like terms: 3t + -3t = 0 3 + 7t = 38 + 0 3 + 7t = 38 Add '-3' to each side of the equation. 3 + -3 + 7t = 38 + -3 Combine like terms: 3 + -3 = 0 0 + 7t = 38 + -3 7t = 38 + -3 Combine like terms: 38 + -3 = 35 7t = 35 Divide each side by '7'. t = 5 Simplifying t = 5
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