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Simplifying 5 + 12t + -1 = 9t + 74 + -7t Reorder the terms: 5 + -1 + 12t = 9t + 74 + -7t Combine like terms: 5 + -1 = 4 4 + 12t = 9t + 74 + -7t Reorder the terms: 4 + 12t = 74 + 9t + -7t Combine like terms: 9t + -7t = 2t 4 + 12t = 74 + 2t Solving 4 + 12t = 74 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 4 + 12t + -2t = 74 + 2t + -2t Combine like terms: 12t + -2t = 10t 4 + 10t = 74 + 2t + -2t Combine like terms: 2t + -2t = 0 4 + 10t = 74 + 0 4 + 10t = 74 Add '-4' to each side of the equation. 4 + -4 + 10t = 74 + -4 Combine like terms: 4 + -4 = 0 0 + 10t = 74 + -4 10t = 74 + -4 Combine like terms: 74 + -4 = 70 10t = 70 Divide each side by '10'. t = 7 Simplifying t = 7
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