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Simplifying 4(8 + 7k) = 32 + -8k (8 * 4 + 7k * 4) = 32 + -8k (32 + 28k) = 32 + -8k Add '-32' to each side of the equation. 32 + -32 + 28k = 32 + -32 + -8k Combine like terms: 32 + -32 = 0 0 + 28k = 32 + -32 + -8k 28k = 32 + -32 + -8k Combine like terms: 32 + -32 = 0 28k = 0 + -8k 28k = -8k Solving 28k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 28k + 8k = -8k + 8k Combine like terms: 28k + 8k = 36k 36k = -8k + 8k Combine like terms: -8k + 8k = 0 36k = 0 Divide each side by '36'. k = 0 Simplifying k = 0
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