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Simplifying -4k + -2(7k + -7) = -112 Reorder the terms: -4k + -2(-7 + 7k) = -112 -4k + (-7 * -2 + 7k * -2) = -112 -4k + (14 + -14k) = -112 Reorder the terms: 14 + -4k + -14k = -112 Combine like terms: -4k + -14k = -18k 14 + -18k = -112 Solving 14 + -18k = -112 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 + -18k = -112 + -14 Combine like terms: 14 + -14 = 0 0 + -18k = -112 + -14 -18k = -112 + -14 Combine like terms: -112 + -14 = -126 -18k = -126 Divide each side by '-18'. k = 7 Simplifying k = 7
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