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Simplifying 21 + -5k = -2(7 + -1k) 21 + -5k = (7 * -2 + -1k * -2) 21 + -5k = (-14 + 2k) Solving 21 + -5k = -14 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 21 + -5k + -2k = -14 + 2k + -2k Combine like terms: -5k + -2k = -7k 21 + -7k = -14 + 2k + -2k Combine like terms: 2k + -2k = 0 21 + -7k = -14 + 0 21 + -7k = -14 Add '-21' to each side of the equation. 21 + -21 + -7k = -14 + -21 Combine like terms: 21 + -21 = 0 0 + -7k = -14 + -21 -7k = -14 + -21 Combine like terms: -14 + -21 = -35 -7k = -35 Divide each side by '-7'. k = 5 Simplifying k = 5
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