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Simplifying -3(4 + -4k) = -19 + 5k (4 * -3 + -4k * -3) = -19 + 5k (-12 + 12k) = -19 + 5k Solving -12 + 12k = -19 + 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. -12 + 12k + -5k = -19 + 5k + -5k Combine like terms: 12k + -5k = 7k -12 + 7k = -19 + 5k + -5k Combine like terms: 5k + -5k = 0 -12 + 7k = -19 + 0 -12 + 7k = -19 Add '12' to each side of the equation. -12 + 12 + 7k = -19 + 12 Combine like terms: -12 + 12 = 0 0 + 7k = -19 + 12 7k = -19 + 12 Combine like terms: -19 + 12 = -7 7k = -7 Divide each side by '7'. k = -1 Simplifying k = -1
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