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Simplifying -7(k + 5) + -1(3 + 5k) = -13k Reorder the terms: -7(5 + k) + -1(3 + 5k) = -13k (5 * -7 + k * -7) + -1(3 + 5k) = -13k (-35 + -7k) + -1(3 + 5k) = -13k -35 + -7k + (3 * -1 + 5k * -1) = -13k -35 + -7k + (-3 + -5k) = -13k Reorder the terms: -35 + -3 + -7k + -5k = -13k Combine like terms: -35 + -3 = -38 -38 + -7k + -5k = -13k Combine like terms: -7k + -5k = -12k -38 + -12k = -13k Solving -38 + -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. -38 + -12k + 13k = -13k + 13k Combine like terms: -12k + 13k = 1k -38 + 1k = -13k + 13k Combine like terms: -13k + 13k = 0 -38 + 1k = 0 Add '38' to each side of the equation. -38 + 38 + 1k = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 1k = 0 + 38 1k = 0 + 38 Combine like terms: 0 + 38 = 38 1k = 38 Divide each side by '1'. k = 38 Simplifying k = 38
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