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Simplifying 12 + 5k = 15 + -4k Solving 12 + 5k = 15 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 12 + 5k + 4k = 15 + -4k + 4k Combine like terms: 5k + 4k = 9k 12 + 9k = 15 + -4k + 4k Combine like terms: -4k + 4k = 0 12 + 9k = 15 + 0 12 + 9k = 15 Add '-12' to each side of the equation. 12 + -12 + 9k = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 9k = 15 + -12 9k = 15 + -12 Combine like terms: 15 + -12 = 3 9k = 3 Divide each side by '9'. k = 0.3333333333 Simplifying k = 0.3333333333
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