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Simplifying t + 38 = 7t + 8 Reorder the terms: 38 + t = 7t + 8 Reorder the terms: 38 + t = 8 + 7t Solving 38 + t = 8 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 38 + t + -7t = 8 + 7t + -7t Combine like terms: t + -7t = -6t 38 + -6t = 8 + 7t + -7t Combine like terms: 7t + -7t = 0 38 + -6t = 8 + 0 38 + -6t = 8 Add '-38' to each side of the equation. 38 + -38 + -6t = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -6t = 8 + -38 -6t = 8 + -38 Combine like terms: 8 + -38 = -30 -6t = -30 Divide each side by '-6'. t = 5 Simplifying t = 5
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