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Simplifying 714 = 17(k + -935) Reorder the terms: 714 = 17(-935 + k) 714 = (-935 * 17 + k * 17) 714 = (-15895 + 17k) Solving 714 = -15895 + 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 714 + -17k = -15895 + 17k + -17k Combine like terms: 17k + -17k = 0 714 + -17k = -15895 + 0 714 + -17k = -15895 Add '-714' to each side of the equation. 714 + -714 + -17k = -15895 + -714 Combine like terms: 714 + -714 = 0 0 + -17k = -15895 + -714 -17k = -15895 + -714 Combine like terms: -15895 + -714 = -16609 -17k = -16609 Divide each side by '-17'. k = 977 Simplifying k = 977
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