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Simplifying k + -12 + 5k = 3(k + 2) Reorder the terms: -12 + k + 5k = 3(k + 2) Combine like terms: k + 5k = 6k -12 + 6k = 3(k + 2) Reorder the terms: -12 + 6k = 3(2 + k) -12 + 6k = (2 * 3 + k * 3) -12 + 6k = (6 + 3k) Solving -12 + 6k = 6 + 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. -12 + 6k + -3k = 6 + 3k + -3k Combine like terms: 6k + -3k = 3k -12 + 3k = 6 + 3k + -3k Combine like terms: 3k + -3k = 0 -12 + 3k = 6 + 0 -12 + 3k = 6 Add '12' to each side of the equation. -12 + 12 + 3k = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 3k = 6 + 12 3k = 6 + 12 Combine like terms: 6 + 12 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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