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Simplifying k + 16 = -29 + -4k Reorder the terms: 16 + k = -29 + -4k Solving 16 + k = -29 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 16 + k + 4k = -29 + -4k + 4k Combine like terms: k + 4k = 5k 16 + 5k = -29 + -4k + 4k Combine like terms: -4k + 4k = 0 16 + 5k = -29 + 0 16 + 5k = -29 Add '-16' to each side of the equation. 16 + -16 + 5k = -29 + -16 Combine like terms: 16 + -16 = 0 0 + 5k = -29 + -16 5k = -29 + -16 Combine like terms: -29 + -16 = -45 5k = -45 Divide each side by '5'. k = -9 Simplifying k = -9
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