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Simplifying 4k + 2 = 4 + 7 + -2k Reorder the terms: 2 + 4k = 4 + 7 + -2k Combine like terms: 4 + 7 = 11 2 + 4k = 11 + -2k Solving 2 + 4k = 11 + -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. 2 + 4k + 2k = 11 + -2k + 2k Combine like terms: 4k + 2k = 6k 2 + 6k = 11 + -2k + 2k Combine like terms: -2k + 2k = 0 2 + 6k = 11 + 0 2 + 6k = 11 Add '-2' to each side of the equation. 2 + -2 + 6k = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 6k = 11 + -2 6k = 11 + -2 Combine like terms: 11 + -2 = 9 6k = 9 Divide each side by '6'. k = 1.5 Simplifying k = 1.5
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