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Simplifying 186 = -5(6 + 6k) + 3k 186 = (6 * -5 + 6k * -5) + 3k 186 = (-30 + -30k) + 3k Combine like terms: -30k + 3k = -27k 186 = -30 + -27k Solving 186 = -30 + -27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27k' to each side of the equation. 186 + 27k = -30 + -27k + 27k Combine like terms: -27k + 27k = 0 186 + 27k = -30 + 0 186 + 27k = -30 Add '-186' to each side of the equation. 186 + -186 + 27k = -30 + -186 Combine like terms: 186 + -186 = 0 0 + 27k = -30 + -186 27k = -30 + -186 Combine like terms: -30 + -186 = -216 27k = -216 Divide each side by '27'. k = -8 Simplifying k = -8
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