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Simplifying -4 + -5(6k + 4) = -1 + -7k Reorder the terms: -4 + -5(4 + 6k) = -1 + -7k -4 + (4 * -5 + 6k * -5) = -1 + -7k -4 + (-20 + -30k) = -1 + -7k Combine like terms: -4 + -20 = -24 -24 + -30k = -1 + -7k Solving -24 + -30k = -1 + -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 + -30k + 7k = -1 + -7k + 7k Combine like terms: -30k + 7k = -23k -24 + -23k = -1 + -7k + 7k Combine like terms: -7k + 7k = 0 -24 + -23k = -1 + 0 -24 + -23k = -1 Add '24' to each side of the equation. -24 + 24 + -23k = -1 + 24 Combine like terms: -24 + 24 = 0 0 + -23k = -1 + 24 -23k = -1 + 24 Combine like terms: -1 + 24 = 23 -23k = 23 Divide each side by '-23'. k = -1 Simplifying k = -1
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