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Simplifying 21 = 6(7k + -2) Reorder the terms: 21 = 6(-2 + 7k) 21 = (-2 * 6 + 7k * 6) 21 = (-12 + 42k) Solving 21 = -12 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. 21 + -42k = -12 + 42k + -42k Combine like terms: 42k + -42k = 0 21 + -42k = -12 + 0 21 + -42k = -12 Add '-21' to each side of the equation. 21 + -21 + -42k = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -42k = -12 + -21 -42k = -12 + -21 Combine like terms: -12 + -21 = -33 -42k = -33 Divide each side by '-42'. k = 0.7857142857 Simplifying k = 0.7857142857
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