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Simplifying -7k + 20 = 4k + -13 Reorder the terms: 20 + -7k = 4k + -13 Reorder the terms: 20 + -7k = -13 + 4k Solving 20 + -7k = -13 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 20 + -7k + -4k = -13 + 4k + -4k Combine like terms: -7k + -4k = -11k 20 + -11k = -13 + 4k + -4k Combine like terms: 4k + -4k = 0 20 + -11k = -13 + 0 20 + -11k = -13 Add '-20' to each side of the equation. 20 + -20 + -11k = -13 + -20 Combine like terms: 20 + -20 = 0 0 + -11k = -13 + -20 -11k = -13 + -20 Combine like terms: -13 + -20 = -33 -11k = -33 Divide each side by '-11'. k = 3 Simplifying k = 3
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