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Simplifying 36 + -6k = -3(7k + 8) Reorder the terms: 36 + -6k = -3(8 + 7k) 36 + -6k = (8 * -3 + 7k * -3) 36 + -6k = (-24 + -21k) Solving 36 + -6k = -24 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. 36 + -6k + 21k = -24 + -21k + 21k Combine like terms: -6k + 21k = 15k 36 + 15k = -24 + -21k + 21k Combine like terms: -21k + 21k = 0 36 + 15k = -24 + 0 36 + 15k = -24 Add '-36' to each side of the equation. 36 + -36 + 15k = -24 + -36 Combine like terms: 36 + -36 = 0 0 + 15k = -24 + -36 15k = -24 + -36 Combine like terms: -24 + -36 = -60 15k = -60 Divide each side by '15'. k = -4 Simplifying k = -4
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