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Simplifying 4 + 12t + -3 = 9t + 22 + -4t Reorder the terms: 4 + -3 + 12t = 9t + 22 + -4t Combine like terms: 4 + -3 = 1 1 + 12t = 9t + 22 + -4t Reorder the terms: 1 + 12t = 22 + 9t + -4t Combine like terms: 9t + -4t = 5t 1 + 12t = 22 + 5t Solving 1 + 12t = 22 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 1 + 12t + -5t = 22 + 5t + -5t Combine like terms: 12t + -5t = 7t 1 + 7t = 22 + 5t + -5t Combine like terms: 5t + -5t = 0 1 + 7t = 22 + 0 1 + 7t = 22 Add '-1' to each side of the equation. 1 + -1 + 7t = 22 + -1 Combine like terms: 1 + -1 = 0 0 + 7t = 22 + -1 7t = 22 + -1 Combine like terms: 22 + -1 = 21 7t = 21 Divide each side by '7'. t = 3 Simplifying t = 3
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