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Simplifying 3(1 + -6k) = 6k + 21 (1 * 3 + -6k * 3) = 6k + 21 (3 + -18k) = 6k + 21 Reorder the terms: 3 + -18k = 21 + 6k Solving 3 + -18k = 21 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 3 + -18k + -6k = 21 + 6k + -6k Combine like terms: -18k + -6k = -24k 3 + -24k = 21 + 6k + -6k Combine like terms: 6k + -6k = 0 3 + -24k = 21 + 0 3 + -24k = 21 Add '-3' to each side of the equation. 3 + -3 + -24k = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -24k = 21 + -3 -24k = 21 + -3 Combine like terms: 21 + -3 = 18 -24k = 18 Divide each side by '-24'. k = -0.75 Simplifying k = -0.75
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