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Simplifying 33 + 13k = -1(5k + 21) Reorder the terms: 33 + 13k = -1(21 + 5k) 33 + 13k = (21 * -1 + 5k * -1) 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 = 18k 33 + 18k = -21 + -5k + 5k Combine like terms: -5k + 5k = 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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