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Simplifying -1k + -7(2k + 1) = -82 Reorder the terms: -1k + -7(1 + 2k) = -82 -1k + (1 * -7 + 2k * -7) = -82 -1k + (-7 + -14k) = -82 Reorder the terms: -7 + -1k + -14k = -82 Combine like terms: -1k + -14k = -15k -7 + -15k = -82 Solving -7 + -15k = -82 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -15k = -82 + 7 Combine like terms: -7 + 7 = 0 0 + -15k = -82 + 7 -15k = -82 + 7 Combine like terms: -82 + 7 = -75 -15k = -75 Divide each side by '-15'. k = 5 Simplifying k = 5
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