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Simplifying 12k + 8 = 15k + -7 Reorder the terms: 8 + 12k = 15k + -7 Reorder the terms: 8 + 12k = -7 + 15k Solving 8 + 12k = -7 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 8 + 12k + -15k = -7 + 15k + -15k Combine like terms: 12k + -15k = -3k 8 + -3k = -7 + 15k + -15k Combine like terms: 15k + -15k = 0 8 + -3k = -7 + 0 8 + -3k = -7 Add '-8' to each side of the equation. 8 + -8 + -3k = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3k = -7 + -8 -3k = -7 + -8 Combine like terms: -7 + -8 = -15 -3k = -15 Divide each side by '-3'. k = 5 Simplifying k = 5
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