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Simplifying -2k + 4(6k + -2) = 21 + -7k Reorder the terms: -2k + 4(-2 + 6k) = 21 + -7k -2k + (-2 * 4 + 6k * 4) = 21 + -7k -2k + (-8 + 24k) = 21 + -7k Reorder the terms: -8 + -2k + 24k = 21 + -7k Combine like terms: -2k + 24k = 22k -8 + 22k = 21 + -7k Solving -8 + 22k = 21 + -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. -8 + 22k + 7k = 21 + -7k + 7k Combine like terms: 22k + 7k = 29k -8 + 29k = 21 + -7k + 7k Combine like terms: -7k + 7k = 0 -8 + 29k = 21 + 0 -8 + 29k = 21 Add '8' to each side of the equation. -8 + 8 + 29k = 21 + 8 Combine like terms: -8 + 8 = 0 0 + 29k = 21 + 8 29k = 21 + 8 Combine like terms: 21 + 8 = 29 29k = 29 Divide each side by '29'. k = 1 Simplifying k = 1
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