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Simplifying 7 + 2k + -2k = k + -5 + 5 Combine like terms: 2k + -2k = 0 7 + 0 = k + -5 + 5 7 = k + -5 + 5 Reorder the terms: 7 = -5 + 5 + k Combine like terms: -5 + 5 = 0 7 = 0 + k 7 = k Solving 7 = 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. 7 + -1k = k + -1k Combine like terms: k + -1k = 0 7 + -1k = 0 Add '-7' to each side of the equation. 7 + -7 + -1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 0 + -7 -1k = 0 + -7 Combine like terms: 0 + -7 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7
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