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Simplifying -5k + 10 = 2k + -14 Reorder the terms: 10 + -5k = 2k + -14 Reorder the terms: 10 + -5k = -14 + 2k Solving 10 + -5k = -14 + 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. 10 + -5k + -2k = -14 + 2k + -2k Combine like terms: -5k + -2k = -7k 10 + -7k = -14 + 2k + -2k Combine like terms: 2k + -2k = 0 10 + -7k = -14 + 0 10 + -7k = -14 Add '-10' to each side of the equation. 10 + -10 + -7k = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -7k = -14 + -10 -7k = -14 + -10 Combine like terms: -14 + -10 = -24 -7k = -24 Divide each side by '-7'. k = 3.428571429 Simplifying k = 3.428571429
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