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Simplifying 5k + 10 = 2k + -23 Reorder the terms: 10 + 5k = 2k + -23 Reorder the terms: 10 + 5k = -23 + 2k Solving 10 + 5k = -23 + 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 = -23 + 2k + -2k Combine like terms: 5k + -2k = 3k 10 + 3k = -23 + 2k + -2k Combine like terms: 2k + -2k = 0 10 + 3k = -23 + 0 10 + 3k = -23 Add '-10' to each side of the equation. 10 + -10 + 3k = -23 + -10 Combine like terms: 10 + -10 = 0 0 + 3k = -23 + -10 3k = -23 + -10 Combine like terms: -23 + -10 = -33 3k = -33 Divide each side by '3'. k = -11 Simplifying k = -11
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