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Simplifying 5k + 13 + 6k = 29 + -6k + -8 Reorder the terms: 13 + 5k + 6k = 29 + -6k + -8 Combine like terms: 5k + 6k = 11k 13 + 11k = 29 + -6k + -8 Reorder the terms: 13 + 11k = 29 + -8 + -6k Combine like terms: 29 + -8 = 21 13 + 11k = 21 + -6k Solving 13 + 11k = 21 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 13 + 11k + 6k = 21 + -6k + 6k Combine like terms: 11k + 6k = 17k 13 + 17k = 21 + -6k + 6k Combine like terms: -6k + 6k = 0 13 + 17k = 21 + 0 13 + 17k = 21 Add '-13' to each side of the equation. 13 + -13 + 17k = 21 + -13 Combine like terms: 13 + -13 = 0 0 + 17k = 21 + -13 17k = 21 + -13 Combine like terms: 21 + -13 = 8 17k = 8 Divide each side by '17'. k = 0.4705882353 Simplifying k = 0.4705882353
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