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Simplifying 3k + -9 = 4k + 12 Reorder the terms: -9 + 3k = 4k + 12 Reorder the terms: -9 + 3k = 12 + 4k Solving -9 + 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. -9 + 3k + -4k = 12 + 4k + -4k Combine like terms: 3k + -4k = -1k -9 + -1k = 12 + 4k + -4k Combine like terms: 4k + -4k = 0 -9 + -1k = 12 + 0 -9 + -1k = 12 Add '9' to each side of the equation. -9 + 9 + -1k = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -1k = 12 + 9 -1k = 12 + 9 Combine like terms: 12 + 9 = 21 -1k = 21 Divide each side by '-1'. k = -21 Simplifying k = -21
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