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Simplifying 2 + 6(-3k + 1) = 116 Reorder the terms: 2 + 6(1 + -3k) = 116 2 + (1 * 6 + -3k * 6) = 116 2 + (6 + -18k) = 116 Combine like terms: 2 + 6 = 8 8 + -18k = 116 Solving 8 + -18k = 116 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -18k = 116 + -8 Combine like terms: 8 + -8 = 0 0 + -18k = 116 + -8 -18k = 116 + -8 Combine like terms: 116 + -8 = 108 -18k = 108 Divide each side by '-18'. k = -6 Simplifying k = -6
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