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Simplifying 6(3k + 1) = 114 Reorder the terms: 6(1 + 3k) = 114 (1 * 6 + 3k * 6) = 114 (6 + 18k) = 114 Solving 6 + 18k = 114 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 18k = 114 + -6 Combine like terms: 6 + -6 = 0 0 + 18k = 114 + -6 18k = 114 + -6 Combine like terms: 114 + -6 = 108 18k = 108 Divide each side by '18'. k = 6 Simplifying k = 6
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