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Simplifying -5(k + 6) + -1(7k + -7) = -13k Reorder the terms: -5(6 + k) + -1(7k + -7) = -13k (6 * -5 + k * -5) + -1(7k + -7) = -13k (-30 + -5k) + -1(7k + -7) = -13k Reorder the terms: -30 + -5k + -1(-7 + 7k) = -13k -30 + -5k + (-7 * -1 + 7k * -1) = -13k -30 + -5k + (7 + -7k) = -13k Reorder the terms: -30 + 7 + -5k + -7k = -13k Combine like terms: -30 + 7 = -23 -23 + -5k + -7k = -13k Combine like terms: -5k + -7k = -12k -23 + -12k = -13k Solving -23 + -12k = -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. -23 + -12k + 13k = -13k + 13k Combine like terms: -12k + 13k = 1k -23 + 1k = -13k + 13k Combine like terms: -13k + 13k = 0 -23 + 1k = 0 Add '23' to each side of the equation. -23 + 23 + 1k = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1k = 0 + 23 1k = 0 + 23 Combine like terms: 0 + 23 = 23 1k = 23 Divide each side by '1'. k = 23 Simplifying k = 23
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