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Simplifying 7(3k + -2) + -13k = 82 Reorder the terms: 7(-2 + 3k) + -13k = 82 (-2 * 7 + 3k * 7) + -13k = 82 (-14 + 21k) + -13k = 82 Combine like terms: 21k + -13k = 8k -14 + 8k = 82 Solving -14 + 8k = 82 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8k = 82 + 14 Combine like terms: -14 + 14 = 0 0 + 8k = 82 + 14 8k = 82 + 14 Combine like terms: 82 + 14 = 96 8k = 96 Divide each side by '8'. k = 12 Simplifying k = 12
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