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Simplifying 6t + 5 = 3t + 17 Reorder the terms: 5 + 6t = 3t + 17 Reorder the terms: 5 + 6t = 17 + 3t Solving 5 + 6t = 17 + 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. 5 + 6t + -3t = 17 + 3t + -3t Combine like terms: 6t + -3t = 3t 5 + 3t = 17 + 3t + -3t Combine like terms: 3t + -3t = 0 5 + 3t = 17 + 0 5 + 3t = 17 Add '-5' to each side of the equation. 5 + -5 + 3t = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 3t = 17 + -5 3t = 17 + -5 Combine like terms: 17 + -5 = 12 3t = 12 Divide each side by '3'. t = 4 Simplifying t = 4
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