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Simplifying 33 + 6k = -2(9k + 5) Reorder the terms: 33 + 6k = -2(5 + 9k) 33 + 6k = (5 * -2 + 9k * -2) 33 + 6k = (-10 + -18k) Solving 33 + 6k = -10 + -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 + 6k + 18k = -10 + -18k + 18k Combine like terms: 6k + 18k = 24k 33 + 24k = -10 + -18k + 18k Combine like terms: -18k + 18k = 0 33 + 24k = -10 + 0 33 + 24k = -10 Add '-33' to each side of the equation. 33 + -33 + 24k = -10 + -33 Combine like terms: 33 + -33 = 0 0 + 24k = -10 + -33 24k = -10 + -33 Combine like terms: -10 + -33 = -43 24k = -43 Divide each side by '24'. k = -1.791666667 Simplifying k = -1.791666667
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