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Simplifying 51 = 6k + 9 Reorder the terms: 51 = 9 + 6k Solving 51 = 9 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 51 + -6k = 9 + 6k + -6k Combine like terms: 6k + -6k = 0 51 + -6k = 9 + 0 51 + -6k = 9 Add '-51' to each side of the equation. 51 + -51 + -6k = 9 + -51 Combine like terms: 51 + -51 = 0 0 + -6k = 9 + -51 -6k = 9 + -51 Combine like terms: 9 + -51 = -42 -6k = -42 Divide each side by '-6'. k = 7 Simplifying k = 7
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