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Simplifying 12 + 5k = 6(k + 2) Reorder the terms: 12 + 5k = 6(2 + k) 12 + 5k = (2 * 6 + k * 6) 12 + 5k = (12 + 6k) Add '-12' to each side of the equation. 12 + -12 + 5k = 12 + -12 + 6k Combine like terms: 12 + -12 = 0 0 + 5k = 12 + -12 + 6k 5k = 12 + -12 + 6k Combine like terms: 12 + -12 = 0 5k = 0 + 6k 5k = 6k Solving 5k = 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 5k + -6k = 6k + -6k Combine like terms: 5k + -6k = -1k -1k = 6k + -6k Combine like terms: 6k + -6k = 0 -1k = 0 Divide each side by '-1'. k = 0 Simplifying k = 0
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