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Simplifying 2(3 + -2k) = 7k + 28 (3 * 2 + -2k * 2) = 7k + 28 (6 + -4k) = 7k + 28 Reorder the terms: 6 + -4k = 28 + 7k Solving 6 + -4k = 28 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 6 + -4k + -7k = 28 + 7k + -7k Combine like terms: -4k + -7k = -11k 6 + -11k = 28 + 7k + -7k Combine like terms: 7k + -7k = 0 6 + -11k = 28 + 0 6 + -11k = 28 Add '-6' to each side of the equation. 6 + -6 + -11k = 28 + -6 Combine like terms: 6 + -6 = 0 0 + -11k = 28 + -6 -11k = 28 + -6 Combine like terms: 28 + -6 = 22 -11k = 22 Divide each side by '-11'. k = -2 Simplifying k = -2
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