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Simplifying -5k + -9 = 2k + 19 Reorder the terms: -9 + -5k = 2k + 19 Reorder the terms: -9 + -5k = 19 + 2k Solving -9 + -5k = 19 + 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. -9 + -5k + -2k = 19 + 2k + -2k Combine like terms: -5k + -2k = -7k -9 + -7k = 19 + 2k + -2k Combine like terms: 2k + -2k = 0 -9 + -7k = 19 + 0 -9 + -7k = 19 Add '9' to each side of the equation. -9 + 9 + -7k = 19 + 9 Combine like terms: -9 + 9 = 0 0 + -7k = 19 + 9 -7k = 19 + 9 Combine like terms: 19 + 9 = 28 -7k = 28 Divide each side by '-7'. k = -4 Simplifying k = -4
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