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Simplifying 4(1 + -7k) = -6k + -40 (1 * 4 + -7k * 4) = -6k + -40 (4 + -28k) = -6k + -40 Reorder the terms: 4 + -28k = -40 + -6k Solving 4 + -28k = -40 + -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. 4 + -28k + 6k = -40 + -6k + 6k Combine like terms: -28k + 6k = -22k 4 + -22k = -40 + -6k + 6k Combine like terms: -6k + 6k = 0 4 + -22k = -40 + 0 4 + -22k = -40 Add '-4' to each side of the equation. 4 + -4 + -22k = -40 + -4 Combine like terms: 4 + -4 = 0 0 + -22k = -40 + -4 -22k = -40 + -4 Combine like terms: -40 + -4 = -44 -22k = -44 Divide each side by '-22'. k = 2 Simplifying k = 2
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