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Simplifying 29 + 9k = 11k + -9 Reorder the terms: 29 + 9k = -9 + 11k Solving 29 + 9k = -9 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 29 + 9k + -11k = -9 + 11k + -11k Combine like terms: 9k + -11k = -2k 29 + -2k = -9 + 11k + -11k Combine like terms: 11k + -11k = 0 29 + -2k = -9 + 0 29 + -2k = -9 Add '-29' to each side of the equation. 29 + -29 + -2k = -9 + -29 Combine like terms: 29 + -29 = 0 0 + -2k = -9 + -29 -2k = -9 + -29 Combine like terms: -9 + -29 = -38 -2k = -38 Divide each side by '-2'. k = 19 Simplifying k = 19
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