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Simplifying 7k + -11 = 4k + 1 Reorder the terms: -11 + 7k = 4k + 1 Reorder the terms: -11 + 7k = 1 + 4k Solving -11 + 7k = 1 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -11 + 7k + -4k = 1 + 4k + -4k Combine like terms: 7k + -4k = 3k -11 + 3k = 1 + 4k + -4k Combine like terms: 4k + -4k = 0 -11 + 3k = 1 + 0 -11 + 3k = 1 Add '11' to each side of the equation. -11 + 11 + 3k = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 3k = 1 + 11 3k = 1 + 11 Combine like terms: 1 + 11 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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