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Simplifying -18 = -6(k + 17) Reorder the terms: -18 = -6(17 + k) -18 = (17 * -6 + k * -6) -18 = (-102 + -6k) Solving -18 = -102 + -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. -18 + 6k = -102 + -6k + 6k Combine like terms: -6k + 6k = 0 -18 + 6k = -102 + 0 -18 + 6k = -102 Add '18' to each side of the equation. -18 + 18 + 6k = -102 + 18 Combine like terms: -18 + 18 = 0 0 + 6k = -102 + 18 6k = -102 + 18 Combine like terms: -102 + 18 = -84 6k = -84 Divide each side by '6'. k = -14 Simplifying k = -14
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