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Simplifying 6(k + 8) = 84 Reorder the terms: 6(8 + k) = 84 (8 * 6 + k * 6) = 84 (48 + 6k) = 84 Solving 48 + 6k = 84 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 6k = 84 + -48 Combine like terms: 48 + -48 = 0 0 + 6k = 84 + -48 6k = 84 + -48 Combine like terms: 84 + -48 = 36 6k = 36 Divide each side by '6'. k = 6 Simplifying k = 6
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