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Simplifying -4(k + -1) + -5k = 4(1 + 7k) Reorder the terms: -4(-1 + k) + -5k = 4(1 + 7k) (-1 * -4 + k * -4) + -5k = 4(1 + 7k) (4 + -4k) + -5k = 4(1 + 7k) Combine like terms: -4k + -5k = -9k 4 + -9k = 4(1 + 7k) 4 + -9k = (1 * 4 + 7k * 4) 4 + -9k = (4 + 28k) Add '-4' to each side of the equation. 4 + -4 + -9k = 4 + -4 + 28k Combine like terms: 4 + -4 = 0 0 + -9k = 4 + -4 + 28k -9k = 4 + -4 + 28k Combine like terms: 4 + -4 = 0 -9k = 0 + 28k -9k = 28k Solving -9k = 28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28k' to each side of the equation. -9k + -28k = 28k + -28k Combine like terms: -9k + -28k = -37k -37k = 28k + -28k Combine like terms: 28k + -28k = 0 -37k = 0 Divide each side by '-37'. k = 0 Simplifying k = 0
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