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Simplifying -4k + 7 = -20 + 5k Reorder the terms: 7 + -4k = -20 + 5k Solving 7 + -4k = -20 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 7 + -4k + -5k = -20 + 5k + -5k Combine like terms: -4k + -5k = -9k 7 + -9k = -20 + 5k + -5k Combine like terms: 5k + -5k = 0 7 + -9k = -20 + 0 7 + -9k = -20 Add '-7' to each side of the equation. 7 + -7 + -9k = -20 + -7 Combine like terms: 7 + -7 = 0 0 + -9k = -20 + -7 -9k = -20 + -7 Combine like terms: -20 + -7 = -27 -9k = -27 Divide each side by '-9'. k = 3 Simplifying k = 3
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