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Simplifying 36 + -1k = -6(k + -1) Reorder the terms: 36 + -1k = -6(-1 + k) 36 + -1k = (-1 * -6 + k * -6) 36 + -1k = (6 + -6k) Solving 36 + -1k = 6 + -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. 36 + -1k + 6k = 6 + -6k + 6k Combine like terms: -1k + 6k = 5k 36 + 5k = 6 + -6k + 6k Combine like terms: -6k + 6k = 0 36 + 5k = 6 + 0 36 + 5k = 6 Add '-36' to each side of the equation. 36 + -36 + 5k = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 5k = 6 + -36 5k = 6 + -36 Combine like terms: 6 + -36 = -30 5k = -30 Divide each side by '5'. k = -6 Simplifying k = -6
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