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Simplifying 3(1 + -6k) = -23 + -5k (1 * 3 + -6k * 3) = -23 + -5k (3 + -18k) = -23 + -5k Solving 3 + -18k = -23 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 3 + -18k + 5k = -23 + -5k + 5k Combine like terms: -18k + 5k = -13k 3 + -13k = -23 + -5k + 5k Combine like terms: -5k + 5k = 0 3 + -13k = -23 + 0 3 + -13k = -23 Add '-3' to each side of the equation. 3 + -3 + -13k = -23 + -3 Combine like terms: 3 + -3 = 0 0 + -13k = -23 + -3 -13k = -23 + -3 Combine like terms: -23 + -3 = -26 -13k = -26 Divide each side by '-13'. k = 2 Simplifying k = 2
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