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Simplifying 4 + -4(5k + 5) = -16 + 7k Reorder the terms: 4 + -4(5 + 5k) = -16 + 7k 4 + (5 * -4 + 5k * -4) = -16 + 7k 4 + (-20 + -20k) = -16 + 7k Combine like terms: 4 + -20 = -16 -16 + -20k = -16 + 7k Add '16' to each side of the equation. -16 + 16 + -20k = -16 + 16 + 7k Combine like terms: -16 + 16 = 0 0 + -20k = -16 + 16 + 7k -20k = -16 + 16 + 7k Combine like terms: -16 + 16 = 0 -20k = 0 + 7k -20k = 7k Solving -20k = 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. -20k + -7k = 7k + -7k Combine like terms: -20k + -7k = -27k -27k = 7k + -7k Combine like terms: 7k + -7k = 0 -27k = 0 Divide each side by '-27'. k = 0 Simplifying k = 0
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