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Simplifying 6k + 16 = 3k + 7k + -2 Reorder the terms: 16 + 6k = 3k + 7k + -2 Reorder the terms: 16 + 6k = -2 + 3k + 7k Combine like terms: 3k + 7k = 10k 16 + 6k = -2 + 10k Solving 16 + 6k = -2 + 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. 16 + 6k + -10k = -2 + 10k + -10k Combine like terms: 6k + -10k = -4k 16 + -4k = -2 + 10k + -10k Combine like terms: 10k + -10k = 0 16 + -4k = -2 + 0 16 + -4k = -2 Add '-16' to each side of the equation. 16 + -16 + -4k = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -4k = -2 + -16 -4k = -2 + -16 Combine like terms: -2 + -16 = -18 -4k = -18 Divide each side by '-4'. k = 4.5 Simplifying k = 4.5
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