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Simplifying 4k + -4 + -3k = 7k + -1 + 8 Reorder the terms: -4 + 4k + -3k = 7k + -1 + 8 Combine like terms: 4k + -3k = 1k -4 + 1k = 7k + -1 + 8 Reorder the terms: -4 + 1k = -1 + 8 + 7k Combine like terms: -1 + 8 = 7 -4 + 1k = 7 + 7k Solving -4 + 1k = 7 + 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. -4 + 1k + -7k = 7 + 7k + -7k Combine like terms: 1k + -7k = -6k -4 + -6k = 7 + 7k + -7k Combine like terms: 7k + -7k = 0 -4 + -6k = 7 + 0 -4 + -6k = 7 Add '4' to each side of the equation. -4 + 4 + -6k = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -6k = 7 + 4 -6k = 7 + 4 Combine like terms: 7 + 4 = 11 -6k = 11 Divide each side by '-6'. k = -1.833333333 Simplifying k = -1.833333333
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