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Simplifying k + -7 + 2k + 19 = 2k + 4 + 2k Reorder the terms: -7 + 19 + k + 2k = 2k + 4 + 2k Combine like terms: -7 + 19 = 12 12 + k + 2k = 2k + 4 + 2k Combine like terms: k + 2k = 3k 12 + 3k = 2k + 4 + 2k Reorder the terms: 12 + 3k = 4 + 2k + 2k Combine like terms: 2k + 2k = 4k 12 + 3k = 4 + 4k Solving 12 + 3k = 4 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 12 + 3k + -4k = 4 + 4k + -4k Combine like terms: 3k + -4k = -1k 12 + -1k = 4 + 4k + -4k Combine like terms: 4k + -4k = 0 12 + -1k = 4 + 0 12 + -1k = 4 Add '-12' to each side of the equation. 12 + -12 + -1k = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -1k = 4 + -12 -1k = 4 + -12 Combine like terms: 4 + -12 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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