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Simplifying -29 = 9 + -6k + -2k + -14 Reorder the terms: -29 = 9 + -14 + -6k + -2k Combine like terms: 9 + -14 = -5 -29 = -5 + -6k + -2k Combine like terms: -6k + -2k = -8k -29 = -5 + -8k Solving -29 = -5 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -29 + 8k = -5 + -8k + 8k Combine like terms: -8k + 8k = 0 -29 + 8k = -5 + 0 -29 + 8k = -5 Add '29' to each side of the equation. -29 + 29 + 8k = -5 + 29 Combine like terms: -29 + 29 = 0 0 + 8k = -5 + 29 8k = -5 + 29 Combine like terms: -5 + 29 = 24 8k = 24 Divide each side by '8'. k = 3 Simplifying k = 3
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