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Simplifying -7(-3 + -7k) + -2k = -214 (-3 * -7 + -7k * -7) + -2k = -214 (21 + 49k) + -2k = -214 Combine like terms: 49k + -2k = 47k 21 + 47k = -214 Solving 21 + 47k = -214 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 47k = -214 + -21 Combine like terms: 21 + -21 = 0 0 + 47k = -214 + -21 47k = -214 + -21 Combine like terms: -214 + -21 = -235 47k = -235 Divide each side by '47'. k = -5 Simplifying k = -5
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