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Simplifying 36 + -3k = -5(k + -6) Reorder the terms: 36 + -3k = -5(-6 + k) 36 + -3k = (-6 * -5 + k * -5) 36 + -3k = (30 + -5k) Solving 36 + -3k = 30 + -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. 36 + -3k + 5k = 30 + -5k + 5k Combine like terms: -3k + 5k = 2k 36 + 2k = 30 + -5k + 5k Combine like terms: -5k + 5k = 0 36 + 2k = 30 + 0 36 + 2k = 30 Add '-36' to each side of the equation. 36 + -36 + 2k = 30 + -36 Combine like terms: 36 + -36 = 0 0 + 2k = 30 + -36 2k = 30 + -36 Combine like terms: 30 + -36 = -6 2k = -6 Divide each side by '2'. k = -3 Simplifying k = -3
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