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Simplifying 19 = 5 + k + 7 Reorder the terms: 19 = 5 + 7 + k Combine like terms: 5 + 7 = 12 19 = 12 + k Solving 19 = 12 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 19 + -1k = 12 + k + -1k Combine like terms: k + -1k = 0 19 + -1k = 12 + 0 19 + -1k = 12 Add '-19' to each side of the equation. 19 + -19 + -1k = 12 + -19 Combine like terms: 19 + -19 = 0 0 + -1k = 12 + -19 -1k = 12 + -19 Combine like terms: 12 + -19 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7
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