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Simplifying 8k + -7 = 5k + 29 Reorder the terms: -7 + 8k = 5k + 29 Reorder the terms: -7 + 8k = 29 + 5k Solving -7 + 8k = 29 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -7 + 8k + -5k = 29 + 5k + -5k Combine like terms: 8k + -5k = 3k -7 + 3k = 29 + 5k + -5k Combine like terms: 5k + -5k = 0 -7 + 3k = 29 + 0 -7 + 3k = 29 Add '7' to each side of the equation. -7 + 7 + 3k = 29 + 7 Combine like terms: -7 + 7 = 0 0 + 3k = 29 + 7 3k = 29 + 7 Combine like terms: 29 + 7 = 36 3k = 36 Divide each side by '3'. k = 12 Simplifying k = 12
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