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