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Simplifying 4(3k + -2) = 5(k + 4) Reorder the terms: 4(-2 + 3k) = 5(k + 4) (-2 * 4 + 3k * 4) = 5(k + 4) (-8 + 12k) = 5(k + 4) Reorder the terms: -8 + 12k = 5(4 + k) -8 + 12k = (4 * 5 + k * 5) -8 + 12k = (20 + 5k) Solving -8 + 12k = 20 + 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. -8 + 12k + -5k = 20 + 5k + -5k Combine like terms: 12k + -5k = 7k -8 + 7k = 20 + 5k + -5k Combine like terms: 5k + -5k = 0 -8 + 7k = 20 + 0 -8 + 7k = 20 Add '8' to each side of the equation. -8 + 8 + 7k = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 7k = 20 + 8 7k = 20 + 8 Combine like terms: 20 + 8 = 28 7k = 28 Divide each side by '7'. k = 4 Simplifying k = 4
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