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Simplifying 27 + -6k = -2 + 5(1 + -6k) 27 + -6k = -2 + (1 * 5 + -6k * 5) 27 + -6k = -2 + (5 + -30k) Combine like terms: -2 + 5 = 3 27 + -6k = 3 + -30k Solving 27 + -6k = 3 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. 27 + -6k + 30k = 3 + -30k + 30k Combine like terms: -6k + 30k = 24k 27 + 24k = 3 + -30k + 30k Combine like terms: -30k + 30k = 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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