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Simplifying 12t + 5 = 6t + 17 Reorder the terms: 5 + 12t = 6t + 17 Reorder the terms: 5 + 12t = 17 + 6t Solving 5 + 12t = 17 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 5 + 12t + -6t = 17 + 6t + -6t Combine like terms: 12t + -6t = 6t 5 + 6t = 17 + 6t + -6t Combine like terms: 6t + -6t = 0 5 + 6t = 17 + 0 5 + 6t = 17 Add '-5' to each side of the equation. 5 + -5 + 6t = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 6t = 17 + -5 6t = 17 + -5 Combine like terms: 17 + -5 = 12 6t = 12 Divide each side by '6'. t = 2 Simplifying t = 2
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