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Simplifying 12t + 1(1 + -7t) = 31 12t + (1 * 1 + -7t * 1) = 31 12t + (1 + -7t) = 31 Reorder the terms: 1 + 12t + -7t = 31 Combine like terms: 12t + -7t = 5t 1 + 5t = 31 Solving 1 + 5t = 31 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5t = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 5t = 31 + -1 5t = 31 + -1 Combine like terms: 31 + -1 = 30 5t = 30 Divide each side by '5'. t = 6 Simplifying t = 6
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