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Simplifying 4(-6 + -1k) = -12 + -7k (-6 * 4 + -1k * 4) = -12 + -7k (-24 + -4k) = -12 + -7k Solving -24 + -4k = -12 + -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. -24 + -4k + 7k = -12 + -7k + 7k Combine like terms: -4k + 7k = 3k -24 + 3k = -12 + -7k + 7k Combine like terms: -7k + 7k = 0 -24 + 3k = -12 + 0 -24 + 3k = -12 Add '24' to each side of the equation. -24 + 24 + 3k = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 3k = -12 + 24 3k = -12 + 24 Combine like terms: -12 + 24 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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