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Simplifying -33 = 3(6k + 7) Reorder the terms: -33 = 3(7 + 6k) -33 = (7 * 3 + 6k * 3) -33 = (21 + 18k) Solving -33 = 21 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -33 + -18k = 21 + 18k + -18k Combine like terms: 18k + -18k = 0 -33 + -18k = 21 + 0 -33 + -18k = 21 Add '33' to each side of the equation. -33 + 33 + -18k = 21 + 33 Combine like terms: -33 + 33 = 0 0 + -18k = 21 + 33 -18k = 21 + 33 Combine like terms: 21 + 33 = 54 -18k = 54 Divide each side by '-18'. k = -3 Simplifying k = -3
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