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Simplifying 27 + -6k = 3(6k + 1) Reorder the terms: 27 + -6k = 3(1 + 6k) 27 + -6k = (1 * 3 + 6k * 3) 27 + -6k = (3 + 18k) Solving 27 + -6k = 3 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 27 + -6k + -18k = 3 + 18k + -18k Combine like terms: -6k + -18k = -24k 27 + -24k = 3 + 18k + -18k Combine like terms: 18k + -18k = 0 27 + -24k = 3 + 0 27 + -24k = 3 Add '-27' to each side of the equation. 27 + -27 + -24k = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -24k = 3 + -27 -24k = 3 + -27 Combine like terms: 3 + -27 = -24 -24k = -24 Divide each side by '-24'. k = 1 Simplifying k = 1
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