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Simplifying 7 + 4k = 1 + 7k Solving 7 + 4k = 1 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 7 + 4k + -7k = 1 + 7k + -7k Combine like terms: 4k + -7k = -3k 7 + -3k = 1 + 7k + -7k Combine like terms: 7k + -7k = 0 7 + -3k = 1 + 0 7 + -3k = 1 Add '-7' to each side of the equation. 7 + -7 + -3k = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3k = 1 + -7 -3k = 1 + -7 Combine like terms: 1 + -7 = -6 -3k = -6 Divide each side by '-3'. k = 2 Simplifying k = 2
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