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Simplifying 5k + 3 = 20k + -57 Reorder the terms: 3 + 5k = 20k + -57 Reorder the terms: 3 + 5k = -57 + 20k Solving 3 + 5k = -57 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 3 + 5k + -20k = -57 + 20k + -20k Combine like terms: 5k + -20k = -15k 3 + -15k = -57 + 20k + -20k Combine like terms: 20k + -20k = 0 3 + -15k = -57 + 0 3 + -15k = -57 Add '-3' to each side of the equation. 3 + -3 + -15k = -57 + -3 Combine like terms: 3 + -3 = 0 0 + -15k = -57 + -3 -15k = -57 + -3 Combine like terms: -57 + -3 = -60 -15k = -60 Divide each side by '-15'. k = 4 Simplifying k = 4
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