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Simplifying 33 + 13k = (5k + 21) Reorder the terms: 33 + 13k = (21 + 5k) Remove parenthesis around (21 + 5k) 33 + 13k = 21 + 5k Solving 33 + 13k = 21 + 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. 33 + 13k + -5k = 21 + 5k + -5k Combine like terms: 13k + -5k = 8k 33 + 8k = 21 + 5k + -5k Combine like terms: 5k + -5k = 0 33 + 8k = 21 + 0 33 + 8k = 21 Add '-33' to each side of the equation. 33 + -33 + 8k = 21 + -33 Combine like terms: 33 + -33 = 0 0 + 8k = 21 + -33 8k = 21 + -33 Combine like terms: 21 + -33 = -12 8k = -12 Divide each side by '8'. k = -1.5 Simplifying k = -1.5
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