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Simplifying 9 + 12t + -8 = 7t + 37 + -4t Reorder the terms: 9 + -8 + 12t = 7t + 37 + -4t Combine like terms: 9 + -8 = 1 1 + 12t = 7t + 37 + -4t Reorder the terms: 1 + 12t = 37 + 7t + -4t Combine like terms: 7t + -4t = 3t 1 + 12t = 37 + 3t Solving 1 + 12t = 37 + 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. 1 + 12t + -3t = 37 + 3t + -3t Combine like terms: 12t + -3t = 9t 1 + 9t = 37 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + 9t = 37 + 0 1 + 9t = 37 Add '-1' to each side of the equation. 1 + -1 + 9t = 37 + -1 Combine like terms: 1 + -1 = 0 0 + 9t = 37 + -1 9t = 37 + -1 Combine like terms: 37 + -1 = 36 9t = 36 Divide each side by '9'. t = 4 Simplifying t = 4
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