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Simplifying -2k + -10 = k + -1 + 6k Reorder the terms: -10 + -2k = k + -1 + 6k Reorder the terms: -10 + -2k = -1 + k + 6k Combine like terms: k + 6k = 7k -10 + -2k = -1 + 7k Solving -10 + -2k = -1 + 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. -10 + -2k + -7k = -1 + 7k + -7k Combine like terms: -2k + -7k = -9k -10 + -9k = -1 + 7k + -7k Combine like terms: 7k + -7k = 0 -10 + -9k = -1 + 0 -10 + -9k = -1 Add '10' to each side of the equation. -10 + 10 + -9k = -1 + 10 Combine like terms: -10 + 10 = 0 0 + -9k = -1 + 10 -9k = -1 + 10 Combine like terms: -1 + 10 = 9 -9k = 9 Divide each side by '-9'. k = -1 Simplifying k = -1
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