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Simplifying 12t + -22 = 5t + -1 Reorder the terms: -22 + 12t = 5t + -1 Reorder the terms: -22 + 12t = -1 + 5t Solving -22 + 12t = -1 + 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. -22 + 12t + -5t = -1 + 5t + -5t Combine like terms: 12t + -5t = 7t -22 + 7t = -1 + 5t + -5t Combine like terms: 5t + -5t = 0 -22 + 7t = -1 + 0 -22 + 7t = -1 Add '22' to each side of the equation. -22 + 22 + 7t = -1 + 22 Combine like terms: -22 + 22 = 0 0 + 7t = -1 + 22 7t = -1 + 22 Combine like terms: -1 + 22 = 21 7t = 21 Divide each side by '7'. t = 3 Simplifying t = 3
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