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Simplifying 5 + -3k = 12 + -4k Solving 5 + -3k = 12 + -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. 5 + -3k + 4k = 12 + -4k + 4k Combine like terms: -3k + 4k = 1k 5 + 1k = 12 + -4k + 4k Combine like terms: -4k + 4k = 0 5 + 1k = 12 + 0 5 + 1k = 12 Add '-5' to each side of the equation. 5 + -5 + 1k = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1k = 12 + -5 1k = 12 + -5 Combine like terms: 12 + -5 = 7 1k = 7 Divide each side by '1'. k = 7 Simplifying k = 7
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