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Simplifying 4(-7k + 5) = -2 + -6k Reorder the terms: 4(5 + -7k) = -2 + -6k (5 * 4 + -7k * 4) = -2 + -6k (20 + -28k) = -2 + -6k Solving 20 + -28k = -2 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 20 + -28k + 6k = -2 + -6k + 6k Combine like terms: -28k + 6k = -22k 20 + -22k = -2 + -6k + 6k Combine like terms: -6k + 6k = 0 20 + -22k = -2 + 0 20 + -22k = -2 Add '-20' to each side of the equation. 20 + -20 + -22k = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -22k = -2 + -20 -22k = -2 + -20 Combine like terms: -2 + -20 = -22 -22k = -22 Divide each side by '-22'. k = 1 Simplifying k = 1
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