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Simplifying 84 = 6(k + 2) Reorder the terms: 84 = 6(2 + k) 84 = (2 * 6 + k * 6) 84 = (12 + 6k) Solving 84 = 12 + 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. 84 + -6k = 12 + 6k + -6k Combine like terms: 6k + -6k = 0 84 + -6k = 12 + 0 84 + -6k = 12 Add '-84' to each side of the equation. 84 + -84 + -6k = 12 + -84 Combine like terms: 84 + -84 = 0 0 + -6k = 12 + -84 -6k = 12 + -84 Combine like terms: 12 + -84 = -72 -6k = -72 Divide each side by '-6'. k = 12 Simplifying k = 12
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