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Simplifying 5t + 12(1.6 + -1t) = 11 5t + (1.6 * 12 + -1t * 12) = 11 5t + (19.2 + -12t) = 11 Reorder the terms: 19.2 + 5t + -12t = 11 Combine like terms: 5t + -12t = -7t 19.2 + -7t = 11 Solving 19.2 + -7t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19.2' to each side of the equation. 19.2 + -19.2 + -7t = 11 + -19.2 Combine like terms: 19.2 + -19.2 = 0.0 0.0 + -7t = 11 + -19.2 -7t = 11 + -19.2 Combine like terms: 11 + -19.2 = -8.2 -7t = -8.2 Divide each side by '-7'. t = 1.171428571 Simplifying t = 1.171428571
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