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Simplifying 4 + -1k + 3 = 12 + -4k Reorder the terms: 4 + 3 + -1k = 12 + -4k Combine like terms: 4 + 3 = 7 7 + -1k = 12 + -4k Solving 7 + -1k = 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. 7 + -1k + 4k = 12 + -4k + 4k Combine like terms: -1k + 4k = 3k 7 + 3k = 12 + -4k + 4k Combine like terms: -4k + 4k = 0 7 + 3k = 12 + 0 7 + 3k = 12 Add '-7' to each side of the equation. 7 + -7 + 3k = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 3k = 12 + -7 3k = 12 + -7 Combine like terms: 12 + -7 = 5 3k = 5 Divide each side by '3'. k = 1.666666667 Simplifying k = 1.666666667
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