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Simplifying 3k + 1 = -11 + 7k Reorder the terms: 1 + 3k = -11 + 7k Solving 1 + 3k = -11 + 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. 1 + 3k + -7k = -11 + 7k + -7k Combine like terms: 3k + -7k = -4k 1 + -4k = -11 + 7k + -7k Combine like terms: 7k + -7k = 0 1 + -4k = -11 + 0 1 + -4k = -11 Add '-1' to each side of the equation. 1 + -1 + -4k = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = -11 + -1 -4k = -11 + -1 Combine like terms: -11 + -1 = -12 -4k = -12 Divide each side by '-4'. k = 3 Simplifying k = 3
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