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Simplifying 5t + 12(1.8 + -1t) = 8 5t + (1.8 * 12 + -1t * 12) = 8 5t + (21.6 + -12t) = 8 Reorder the terms: 21.6 + 5t + -12t = 8 Combine like terms: 5t + -12t = -7t 21.6 + -7t = 8 Solving 21.6 + -7t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21.6' to each side of the equation. 21.6 + -21.6 + -7t = 8 + -21.6 Combine like terms: 21.6 + -21.6 = 0.0 0.0 + -7t = 8 + -21.6 -7t = 8 + -21.6 Combine like terms: 8 + -21.6 = -13.6 -7t = -13.6 Divide each side by '-7'. t = 1.942857143 Simplifying t = 1.942857143
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