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Simplifying 12k + -7 = 8k + 13 Reorder the terms: -7 + 12k = 8k + 13 Reorder the terms: -7 + 12k = 13 + 8k Solving -7 + 12k = 13 + 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. -7 + 12k + -8k = 13 + 8k + -8k Combine like terms: 12k + -8k = 4k -7 + 4k = 13 + 8k + -8k Combine like terms: 8k + -8k = 0 -7 + 4k = 13 + 0 -7 + 4k = 13 Add '7' to each side of the equation. -7 + 7 + 4k = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 4k = 13 + 7 4k = 13 + 7 Combine like terms: 13 + 7 = 20 4k = 20 Divide each side by '4'. k = 5 Simplifying k = 5
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