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Simplifying 33 + 13k = (15k + 21) Reorder the terms: 33 + 13k = (21 + 15k) Remove parenthesis around (21 + 15k) 33 + 13k = 21 + 15k Solving 33 + 13k = 21 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 33 + 13k + -15k = 21 + 15k + -15k Combine like terms: 13k + -15k = -2k 33 + -2k = 21 + 15k + -15k Combine like terms: 15k + -15k = 0 33 + -2k = 21 + 0 33 + -2k = 21 Add '-33' to each side of the equation. 33 + -33 + -2k = 21 + -33 Combine like terms: 33 + -33 = 0 0 + -2k = 21 + -33 -2k = 21 + -33 Combine like terms: 21 + -33 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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