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Simplifying 4(-1k + -8) = 3k + -39 Reorder the terms: 4(-8 + -1k) = 3k + -39 (-8 * 4 + -1k * 4) = 3k + -39 (-32 + -4k) = 3k + -39 Reorder the terms: -32 + -4k = -39 + 3k Solving -32 + -4k = -39 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -32 + -4k + -3k = -39 + 3k + -3k Combine like terms: -4k + -3k = -7k -32 + -7k = -39 + 3k + -3k Combine like terms: 3k + -3k = 0 -32 + -7k = -39 + 0 -32 + -7k = -39 Add '32' to each side of the equation. -32 + 32 + -7k = -39 + 32 Combine like terms: -32 + 32 = 0 0 + -7k = -39 + 32 -7k = -39 + 32 Combine like terms: -39 + 32 = -7 -7k = -7 Divide each side by '-7'. k = 1 Simplifying k = 1
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