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Simplifying 3(t + -5) + -1t = -7k Reorder the terms: 3(-5 + t) + -1t = -7k (-5 * 3 + t * 3) + -1t = -7k (-15 + 3t) + -1t = -7k Combine like terms: 3t + -1t = 2t -15 + 2t = -7k Solving -15 + 2t = -7k Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2t = 15 + -7k Combine like terms: -15 + 15 = 0 0 + 2t = 15 + -7k 2t = 15 + -7k Divide each side by '2'. t = 7.5 + -3.5k Simplifying t = 7.5 + -3.5k
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