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Simplifying 5k + -24 = 4(3k + 8) Reorder the terms: -24 + 5k = 4(3k + 8) Reorder the terms: -24 + 5k = 4(8 + 3k) -24 + 5k = (8 * 4 + 3k * 4) -24 + 5k = (32 + 12k) Solving -24 + 5k = 32 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -24 + 5k + -12k = 32 + 12k + -12k Combine like terms: 5k + -12k = -7k -24 + -7k = 32 + 12k + -12k Combine like terms: 12k + -12k = 0 -24 + -7k = 32 + 0 -24 + -7k = 32 Add '24' to each side of the equation. -24 + 24 + -7k = 32 + 24 Combine like terms: -24 + 24 = 0 0 + -7k = 32 + 24 -7k = 32 + 24 Combine like terms: 32 + 24 = 56 -7k = 56 Divide each side by '-7'. k = -8 Simplifying k = -8
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