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Simplifying -7k + 7k = -10 + 2k + -6 + 8 Combine like terms: -7k + 7k = 0 0 = -10 + 2k + -6 + 8 Reorder the terms: 0 = -10 + -6 + 8 + 2k Combine like terms: -10 + -6 = -16 0 = -16 + 8 + 2k Combine like terms: -16 + 8 = -8 0 = -8 + 2k Solving 0 = -8 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 0 + -2k = -8 + 2k + -2k Remove the zero: -2k = -8 + 2k + -2k Combine like terms: 2k + -2k = 0 -2k = -8 + 0 -2k = -8 Divide each side by '-2'. k = 4 Simplifying k = 4
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