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Simplifying -2k + -9 = 10 + 7k + 8 Reorder the terms: -9 + -2k = 10 + 7k + 8 Reorder the terms: -9 + -2k = 10 + 8 + 7k Combine like terms: 10 + 8 = 18 -9 + -2k = 18 + 7k Solving -9 + -2k = 18 + 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. -9 + -2k + -7k = 18 + 7k + -7k Combine like terms: -2k + -7k = -9k -9 + -9k = 18 + 7k + -7k Combine like terms: 7k + -7k = 0 -9 + -9k = 18 + 0 -9 + -9k = 18 Add '9' to each side of the equation. -9 + 9 + -9k = 18 + 9 Combine like terms: -9 + 9 = 0 0 + -9k = 18 + 9 -9k = 18 + 9 Combine like terms: 18 + 9 = 27 -9k = 27 Divide each side by '-9'. k = -3 Simplifying k = -3
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