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Simplifying 7(k + -1t) = 3k + -5 (k * 7 + -1t * 7) = 3k + -5 (7k + -7t) = 3k + -5 Reorder the terms: 7k + -7t = -5 + 3k Solving 7k + -7t = -5 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 7k + -3k + -7t = -5 + 3k + -3k Combine like terms: 7k + -3k = 4k 4k + -7t = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 4k + -7t = -5 + 0 4k + -7t = -5 Add '7t' to each side of the equation. 4k + -7t + 7t = -5 + 7t Combine like terms: -7t + 7t = 0 4k + 0 = -5 + 7t 4k = -5 + 7t Divide each side by '4'. k = -1.25 + 1.75t Simplifying k = -1.25 + 1.75t
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