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Simplifying 6t + 16 = 3t + 82 Reorder the terms: 16 + 6t = 3t + 82 Reorder the terms: 16 + 6t = 82 + 3t Solving 16 + 6t = 82 + 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. 16 + 6t + -3t = 82 + 3t + -3t Combine like terms: 6t + -3t = 3t 16 + 3t = 82 + 3t + -3t Combine like terms: 3t + -3t = 0 16 + 3t = 82 + 0 16 + 3t = 82 Add '-16' to each side of the equation. 16 + -16 + 3t = 82 + -16 Combine like terms: 16 + -16 = 0 0 + 3t = 82 + -16 3t = 82 + -16 Combine like terms: 82 + -16 = 66 3t = 66 Divide each side by '3'. t = 22 Simplifying t = 22
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