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Simplifying 5k + 11 = -17 + 7 + 2k Reorder the terms: 11 + 5k = -17 + 7 + 2k Combine like terms: -17 + 7 = -10 11 + 5k = -10 + 2k Solving 11 + 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. 11 + 5k + -2k = -10 + 2k + -2k Combine like terms: 5k + -2k = 3k 11 + 3k = -10 + 2k + -2k Combine like terms: 2k + -2k = 0 11 + 3k = -10 + 0 11 + 3k = -10 Add '-11' to each side of the equation. 11 + -11 + 3k = -10 + -11 Combine like terms: 11 + -11 = 0 0 + 3k = -10 + -11 3k = -10 + -11 Combine like terms: -10 + -11 = -21 3k = -21 Divide each side by '3'. k = -7 Simplifying k = -7
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