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Simplifying -19(k + -7) = 209 Reorder the terms: -19(-7 + k) = 209 (-7 * -19 + k * -19) = 209 (133 + -19k) = 209 Solving 133 + -19k = 209 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-133' to each side of the equation. 133 + -133 + -19k = 209 + -133 Combine like terms: 133 + -133 = 0 0 + -19k = 209 + -133 -19k = 209 + -133 Combine like terms: 209 + -133 = 76 -19k = 76 Divide each side by '-19'. k = -4 Simplifying k = -4
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