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Simplifying -8k + 7k + 5 = k + -7 Reorder the terms: 5 + -8k + 7k = k + -7 Combine like terms: -8k + 7k = -1k 5 + -1k = k + -7 Reorder the terms: 5 + -1k = -7 + k Solving 5 + -1k = -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. 5 + -1k + -1k = -7 + k + -1k Combine like terms: -1k + -1k = -2k 5 + -2k = -7 + k + -1k Combine like terms: k + -1k = 0 5 + -2k = -7 + 0 5 + -2k = -7 Add '-5' to each side of the equation. 5 + -5 + -2k = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -2k = -7 + -5 -2k = -7 + -5 Combine like terms: -7 + -5 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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