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Simplifying 84 = 3(4k + 4) Reorder the terms: 84 = 3(4 + 4k) 84 = (4 * 3 + 4k * 3) 84 = (12 + 12k) Solving 84 = 12 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 84 + -12k = 12 + 12k + -12k Combine like terms: 12k + -12k = 0 84 + -12k = 12 + 0 84 + -12k = 12 Add '-84' to each side of the equation. 84 + -84 + -12k = 12 + -84 Combine like terms: 84 + -84 = 0 0 + -12k = 12 + -84 -12k = 12 + -84 Combine like terms: 12 + -84 = -72 -12k = -72 Divide each side by '-12'. k = 6 Simplifying k = 6
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