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Simplifying 84 = 6(k + 6) Reorder the terms: 84 = 6(6 + k) 84 = (6 * 6 + k * 6) 84 = (36 + 6k) Solving 84 = 36 + 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 = 36 + 6k + -6k Combine like terms: 6k + -6k = 0 84 + -6k = 36 + 0 84 + -6k = 36 Add '-84' to each side of the equation. 84 + -84 + -6k = 36 + -84 Combine like terms: 84 + -84 = 0 0 + -6k = 36 + -84 -6k = 36 + -84 Combine like terms: 36 + -84 = -48 -6k = -48 Divide each side by '-6'. k = 8 Simplifying k = 8
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