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Simplifying -5k + 3 = 2k + 10 Reorder the terms: 3 + -5k = 2k + 10 Reorder the terms: 3 + -5k = 10 + 2k Solving 3 + -5k = 10 + 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. 3 + -5k + -2k = 10 + 2k + -2k Combine like terms: -5k + -2k = -7k 3 + -7k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 3 + -7k = 10 + 0 3 + -7k = 10 Add '-3' to each side of the equation. 3 + -3 + -7k = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -7k = 10 + -3 -7k = 10 + -3 Combine like terms: 10 + -3 = 7 -7k = 7 Divide each side by '-7'. k = -1 Simplifying k = -1
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