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Simplifying 12t + -6 = 10t + 17 Reorder the terms: -6 + 12t = 10t + 17 Reorder the terms: -6 + 12t = 17 + 10t Solving -6 + 12t = 17 + 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. -6 + 12t + -10t = 17 + 10t + -10t Combine like terms: 12t + -10t = 2t -6 + 2t = 17 + 10t + -10t Combine like terms: 10t + -10t = 0 -6 + 2t = 17 + 0 -6 + 2t = 17 Add '6' to each side of the equation. -6 + 6 + 2t = 17 + 6 Combine like terms: -6 + 6 = 0 0 + 2t = 17 + 6 2t = 17 + 6 Combine like terms: 17 + 6 = 23 2t = 23 Divide each side by '2'. t = 11.5 Simplifying t = 11.5
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