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Simplifying 5k + -11 = 2k + 7 Reorder the terms: -11 + 5k = 2k + 7 Reorder the terms: -11 + 5k = 7 + 2k Solving -11 + 5k = 7 + 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 = 7 + 2k + -2k Combine like terms: 5k + -2k = 3k -11 + 3k = 7 + 2k + -2k Combine like terms: 2k + -2k = 0 -11 + 3k = 7 + 0 -11 + 3k = 7 Add '11' to each side of the equation. -11 + 11 + 3k = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 3k = 7 + 11 3k = 7 + 11 Combine like terms: 7 + 11 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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