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Simplifying -7(k + 1) + -1(5 + 5k) = -13k Reorder the terms: -7(1 + k) + -1(5 + 5k) = -13k (1 * -7 + k * -7) + -1(5 + 5k) = -13k (-7 + -7k) + -1(5 + 5k) = -13k -7 + -7k + (5 * -1 + 5k * -1) = -13k -7 + -7k + (-5 + -5k) = -13k Reorder the terms: -7 + -5 + -7k + -5k = -13k Combine like terms: -7 + -5 = -12 -12 + -7k + -5k = -13k Combine like terms: -7k + -5k = -12k -12 + -12k = -13k Solving -12 + -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. -12 + -12k + 13k = -13k + 13k Combine like terms: -12k + 13k = 1k -12 + 1k = -13k + 13k Combine like terms: -13k + 13k = 0 -12 + 1k = 0 Add '12' to each side of the equation. -12 + 12 + 1k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1k = 0 + 12 1k = 0 + 12 Combine like terms: 0 + 12 = 12 1k = 12 Divide each side by '1'. k = 12 Simplifying k = 12
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