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Simplifying 7t + 3(1 + -4t) = 9 7t + (1 * 3 + -4t * 3) = 9 7t + (3 + -12t) = 9 Reorder the terms: 3 + 7t + -12t = 9 Combine like terms: 7t + -12t = -5t 3 + -5t = 9 Solving 3 + -5t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5t = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -5t = 9 + -3 -5t = 9 + -3 Combine like terms: 9 + -3 = 6 -5t = 6 Divide each side by '-5'. t = -1.2 Simplifying t = -1.2
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