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Simplifying -4(7k + 8) = 31 + -7k Reorder the terms: -4(8 + 7k) = 31 + -7k (8 * -4 + 7k * -4) = 31 + -7k (-32 + -28k) = 31 + -7k Solving -32 + -28k = 31 + -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. -32 + -28k + 7k = 31 + -7k + 7k Combine like terms: -28k + 7k = -21k -32 + -21k = 31 + -7k + 7k Combine like terms: -7k + 7k = 0 -32 + -21k = 31 + 0 -32 + -21k = 31 Add '32' to each side of the equation. -32 + 32 + -21k = 31 + 32 Combine like terms: -32 + 32 = 0 0 + -21k = 31 + 32 -21k = 31 + 32 Combine like terms: 31 + 32 = 63 -21k = 63 Divide each side by '-21'. k = -3 Simplifying k = -3
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