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Simplifying -2k + 29 = 5 + -4k + -8 Reorder the terms: 29 + -2k = 5 + -4k + -8 Reorder the terms: 29 + -2k = 5 + -8 + -4k Combine like terms: 5 + -8 = -3 29 + -2k = -3 + -4k Solving 29 + -2k = -3 + -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. 29 + -2k + 4k = -3 + -4k + 4k Combine like terms: -2k + 4k = 2k 29 + 2k = -3 + -4k + 4k Combine like terms: -4k + 4k = 0 29 + 2k = -3 + 0 29 + 2k = -3 Add '-29' to each side of the equation. 29 + -29 + 2k = -3 + -29 Combine like terms: 29 + -29 = 0 0 + 2k = -3 + -29 2k = -3 + -29 Combine like terms: -3 + -29 = -32 2k = -32 Divide each side by '2'. k = -16 Simplifying k = -16
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