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Simplifying 15t = 17 + 2(4t + -6) Reorder the terms: 15t = 17 + 2(-6 + 4t) 15t = 17 + (-6 * 2 + 4t * 2) 15t = 17 + (-12 + 8t) Combine like terms: 17 + -12 = 5 15t = 5 + 8t Solving 15t = 5 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 15t + -8t = 5 + 8t + -8t Combine like terms: 15t + -8t = 7t 7t = 5 + 8t + -8t Combine like terms: 8t + -8t = 0 7t = 5 + 0 7t = 5 Divide each side by '7'. t = 0.7142857143 Simplifying t = 0.7142857143
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