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Simplifying 33 + 3k = 6(k + 4) Reorder the terms: 33 + 3k = 6(4 + k) 33 + 3k = (4 * 6 + k * 6) 33 + 3k = (24 + 6k) Solving 33 + 3k = 24 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 33 + 3k + -6k = 24 + 6k + -6k Combine like terms: 3k + -6k = -3k 33 + -3k = 24 + 6k + -6k Combine like terms: 6k + -6k = 0 33 + -3k = 24 + 0 33 + -3k = 24 Add '-33' to each side of the equation. 33 + -33 + -3k = 24 + -33 Combine like terms: 33 + -33 = 0 0 + -3k = 24 + -33 -3k = 24 + -33 Combine like terms: 24 + -33 = -9 -3k = -9 Divide each side by '-3'. k = 3 Simplifying k = 3
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