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Simplifying 4k + -6 = k + 12 Reorder the terms: -6 + 4k = k + 12 Reorder the terms: -6 + 4k = 12 + k Solving -6 + 4k = 12 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -6 + 4k + -1k = 12 + k + -1k Combine like terms: 4k + -1k = 3k -6 + 3k = 12 + k + -1k Combine like terms: k + -1k = 0 -6 + 3k = 12 + 0 -6 + 3k = 12 Add '6' to each side of the equation. -6 + 6 + 3k = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3k = 12 + 6 3k = 12 + 6 Combine like terms: 12 + 6 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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