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Simplifying 5[4 + 7k] = 20 + 7k [4 * 5 + 7k * 5] = 20 + 7k [20 + 35k] = 20 + 7k Add '-20' to each side of the equation. 20 + -20 + 35k = 20 + -20 + 7k Combine like terms: 20 + -20 = 0 0 + 35k = 20 + -20 + 7k 35k = 20 + -20 + 7k Combine like terms: 20 + -20 = 0 35k = 0 + 7k 35k = 7k Solving 35k = 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 35k + -7k = 7k + -7k Combine like terms: 35k + -7k = 28k 28k = 7k + -7k Combine like terms: 7k + -7k = 0 28k = 0 Divide each side by '28'. k = 0 Simplifying k = 0
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