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Simplifying 3(k + -2) = 12 + -1k Reorder the terms: 3(-2 + k) = 12 + -1k (-2 * 3 + k * 3) = 12 + -1k (-6 + 3k) = 12 + -1k Solving -6 + 3k = 12 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -6 + 3k + k = 12 + -1k + k Combine like terms: 3k + k = 4k -6 + 4k = 12 + -1k + k Combine like terms: -1k + k = 0 -6 + 4k = 12 + 0 -6 + 4k = 12 Add '6' to each side of the equation. -6 + 6 + 4k = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 4k = 12 + 6 4k = 12 + 6 Combine like terms: 12 + 6 = 18 4k = 18 Divide each side by '4'. k = 4.5 Simplifying k = 4.5
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