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Simplifying 30k + -36 + -20 = 22k + -33 + 3k Reorder the terms: -36 + -20 + 30k = 22k + -33 + 3k Combine like terms: -36 + -20 = -56 -56 + 30k = 22k + -33 + 3k Reorder the terms: -56 + 30k = -33 + 22k + 3k Combine like terms: 22k + 3k = 25k -56 + 30k = -33 + 25k Solving -56 + 30k = -33 + 25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25k' to each side of the equation. -56 + 30k + -25k = -33 + 25k + -25k Combine like terms: 30k + -25k = 5k -56 + 5k = -33 + 25k + -25k Combine like terms: 25k + -25k = 0 -56 + 5k = -33 + 0 -56 + 5k = -33 Add '56' to each side of the equation. -56 + 56 + 5k = -33 + 56 Combine like terms: -56 + 56 = 0 0 + 5k = -33 + 56 5k = -33 + 56 Combine like terms: -33 + 56 = 23 5k = 23 Divide each side by '5'. k = 4.6 Simplifying k = 4.6
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