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Simplifying 5(k + -4) + -1(1 + -7k) = 11k Reorder the terms: 5(-4 + k) + -1(1 + -7k) = 11k (-4 * 5 + k * 5) + -1(1 + -7k) = 11k (-20 + 5k) + -1(1 + -7k) = 11k -20 + 5k + (1 * -1 + -7k * -1) = 11k -20 + 5k + (-1 + 7k) = 11k Reorder the terms: -20 + -1 + 5k + 7k = 11k Combine like terms: -20 + -1 = -21 -21 + 5k + 7k = 11k Combine like terms: 5k + 7k = 12k -21 + 12k = 11k Solving -21 + 12k = 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. -21 + 12k + -11k = 11k + -11k Combine like terms: 12k + -11k = 1k -21 + 1k = 11k + -11k Combine like terms: 11k + -11k = 0 -21 + 1k = 0 Add '21' to each side of the equation. -21 + 21 + 1k = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 1k = 0 + 21 1k = 0 + 21 Combine like terms: 0 + 21 = 21 1k = 21 Divide each side by '1'. k = 21 Simplifying k = 21
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