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Simplifying -1 + 3(-8k + -1) = -4 + -7k Reorder the terms: -1 + 3(-1 + -8k) = -4 + -7k -1 + (-1 * 3 + -8k * 3) = -4 + -7k -1 + (-3 + -24k) = -4 + -7k Combine like terms: -1 + -3 = -4 -4 + -24k = -4 + -7k Add '4' to each side of the equation. -4 + 4 + -24k = -4 + 4 + -7k Combine like terms: -4 + 4 = 0 0 + -24k = -4 + 4 + -7k -24k = -4 + 4 + -7k Combine like terms: -4 + 4 = 0 -24k = 0 + -7k -24k = -7k Solving -24k = -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. -24k + 7k = -7k + 7k Combine like terms: -24k + 7k = -17k -17k = -7k + 7k Combine like terms: -7k + 7k = 0 -17k = 0 Divide each side by '-17'. k = 0 Simplifying k = 0
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