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Simplifying 7k + 5 = 10k + -16 Reorder the terms: 5 + 7k = 10k + -16 Reorder the terms: 5 + 7k = -16 + 10k Solving 5 + 7k = -16 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 5 + 7k + -10k = -16 + 10k + -10k Combine like terms: 7k + -10k = -3k 5 + -3k = -16 + 10k + -10k Combine like terms: 10k + -10k = 0 5 + -3k = -16 + 0 5 + -3k = -16 Add '-5' to each side of the equation. 5 + -5 + -3k = -16 + -5 Combine like terms: 5 + -5 = 0 0 + -3k = -16 + -5 -3k = -16 + -5 Combine like terms: -16 + -5 = -21 -3k = -21 Divide each side by '-3'. k = 7 Simplifying k = 7
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