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Simplifying -4(1 + -3k) = -32 + 5k (1 * -4 + -3k * -4) = -32 + 5k (-4 + 12k) = -32 + 5k Solving -4 + 12k = -32 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -4 + 12k + -5k = -32 + 5k + -5k Combine like terms: 12k + -5k = 7k -4 + 7k = -32 + 5k + -5k Combine like terms: 5k + -5k = 0 -4 + 7k = -32 + 0 -4 + 7k = -32 Add '4' to each side of the equation. -4 + 4 + 7k = -32 + 4 Combine like terms: -4 + 4 = 0 0 + 7k = -32 + 4 7k = -32 + 4 Combine like terms: -32 + 4 = -28 7k = -28 Divide each side by '7'. k = -4 Simplifying k = -4
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