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Simplifying 19 + k + -7 = 2 + 2k Reorder the terms: 19 + -7 + k = 2 + 2k Combine like terms: 19 + -7 = 12 12 + k = 2 + 2k Solving 12 + k = 2 + 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. 12 + k + -2k = 2 + 2k + -2k Combine like terms: k + -2k = -1k 12 + -1k = 2 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + -1k = 2 + 0 12 + -1k = 2 Add '-12' to each side of the equation. 12 + -12 + -1k = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -1k = 2 + -12 -1k = 2 + -12 Combine like terms: 2 + -12 = -10 -1k = -10 Divide each side by '-1'. k = 10 Simplifying k = 10
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