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Simplifying 17 + -1(k + -4) = 6k Reorder the terms: 17 + -1(-4 + k) = 6k 17 + (-4 * -1 + k * -1) = 6k 17 + (4 + -1k) = 6k Combine like terms: 17 + 4 = 21 21 + -1k = 6k Solving 21 + -1k = 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. 21 + -1k + -6k = 6k + -6k Combine like terms: -1k + -6k = -7k 21 + -7k = 6k + -6k Combine like terms: 6k + -6k = 0 21 + -7k = 0 Add '-21' to each side of the equation. 21 + -21 + -7k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -7k = 0 + -21 -7k = 0 + -21 Combine like terms: 0 + -21 = -21 -7k = -21 Divide each side by '-7'. k = 3 Simplifying k = 3
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