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Simplifying 7 + 12t + -4 = 9t + 13 + -7t Reorder the terms: 7 + -4 + 12t = 9t + 13 + -7t Combine like terms: 7 + -4 = 3 3 + 12t = 9t + 13 + -7t Reorder the terms: 3 + 12t = 13 + 9t + -7t Combine like terms: 9t + -7t = 2t 3 + 12t = 13 + 2t Solving 3 + 12t = 13 + 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. 3 + 12t + -2t = 13 + 2t + -2t Combine like terms: 12t + -2t = 10t 3 + 10t = 13 + 2t + -2t Combine like terms: 2t + -2t = 0 3 + 10t = 13 + 0 3 + 10t = 13 Add '-3' to each side of the equation. 3 + -3 + 10t = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 10t = 13 + -3 10t = 13 + -3 Combine like terms: 13 + -3 = 10 10t = 10 Divide each side by '10'. t = 1 Simplifying t = 1
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