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Simplifying 45 = 16t + 23 + -9t Reorder the terms: 45 = 23 + 16t + -9t Combine like terms: 16t + -9t = 7t 45 = 23 + 7t Solving 45 = 23 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 45 + -7t = 23 + 7t + -7t Combine like terms: 7t + -7t = 0 45 + -7t = 23 + 0 45 + -7t = 23 Add '-45' to each side of the equation. 45 + -45 + -7t = 23 + -45 Combine like terms: 45 + -45 = 0 0 + -7t = 23 + -45 -7t = 23 + -45 Combine like terms: 23 + -45 = -22 -7t = -22 Divide each side by '-7'. t = 3.142857143 Simplifying t = 3.142857143
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