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Simplifying 22 + 3k = -2(5k + 9) Reorder the terms: 22 + 3k = -2(9 + 5k) 22 + 3k = (9 * -2 + 5k * -2) 22 + 3k = (-18 + -10k) Solving 22 + 3k = -18 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 22 + 3k + 10k = -18 + -10k + 10k Combine like terms: 3k + 10k = 13k 22 + 13k = -18 + -10k + 10k Combine like terms: -10k + 10k = 0 22 + 13k = -18 + 0 22 + 13k = -18 Add '-22' to each side of the equation. 22 + -22 + 13k = -18 + -22 Combine like terms: 22 + -22 = 0 0 + 13k = -18 + -22 13k = -18 + -22 Combine like terms: -18 + -22 = -40 13k = -40 Divide each side by '13'. k = -3.076923077 Simplifying k = -3.076923077
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