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