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Simplifying 7(6k + 6) = 84 Reorder the terms: 7(6 + 6k) = 84 (6 * 7 + 6k * 7) = 84 (42 + 42k) = 84 Solving 42 + 42k = 84 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 42k = 84 + -42 Combine like terms: 42 + -42 = 0 0 + 42k = 84 + -42 42k = 84 + -42 Combine like terms: 84 + -42 = 42 42k = 42 Divide each side by '42'. k = 1 Simplifying k = 1
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