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Simplifying 339 = 6(8 + -6k) + 3 339 = (8 * 6 + -6k * 6) + 3 339 = (48 + -36k) + 3 Reorder the terms: 339 = 48 + 3 + -36k Combine like terms: 48 + 3 = 51 339 = 51 + -36k Solving 339 = 51 + -36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36k' to each side of the equation. 339 + 36k = 51 + -36k + 36k Combine like terms: -36k + 36k = 0 339 + 36k = 51 + 0 339 + 36k = 51 Add '-339' to each side of the equation. 339 + -339 + 36k = 51 + -339 Combine like terms: 339 + -339 = 0 0 + 36k = 51 + -339 36k = 51 + -339 Combine like terms: 51 + -339 = -288 36k = -288 Divide each side by '36'. k = -8 Simplifying k = -8
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