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Simplifying 3k + -7k + 6 + -2k = 48 Reorder the terms: 6 + 3k + -7k + -2k = 48 Combine like terms: 3k + -7k = -4k 6 + -4k + -2k = 48 Combine like terms: -4k + -2k = -6k 6 + -6k = 48 Solving 6 + -6k = 48 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -6k = 48 + -6 Combine like terms: 6 + -6 = 0 0 + -6k = 48 + -6 -6k = 48 + -6 Combine like terms: 48 + -6 = 42 -6k = 42 Divide each side by '-6'. k = -7 Simplifying k = -7
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