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Simplifying 3t + 17 + 50 = 10t + -38 Reorder the terms: 17 + 50 + 3t = 10t + -38 Combine like terms: 17 + 50 = 67 67 + 3t = 10t + -38 Reorder the terms: 67 + 3t = -38 + 10t Solving 67 + 3t = -38 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 67 + 3t + -10t = -38 + 10t + -10t Combine like terms: 3t + -10t = -7t 67 + -7t = -38 + 10t + -10t Combine like terms: 10t + -10t = 0 67 + -7t = -38 + 0 67 + -7t = -38 Add '-67' to each side of the equation. 67 + -67 + -7t = -38 + -67 Combine like terms: 67 + -67 = 0 0 + -7t = -38 + -67 -7t = -38 + -67 Combine like terms: -38 + -67 = -105 -7t = -105 Divide each side by '-7'. t = 15 Simplifying t = 15
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