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Simplifying 15 + 6k = -3(9k + 7) Reorder the terms: 15 + 6k = -3(7 + 9k) 15 + 6k = (7 * -3 + 9k * -3) 15 + 6k = (-21 + -27k) Solving 15 + 6k = -21 + -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. 15 + 6k + 27k = -21 + -27k + 27k Combine like terms: 6k + 27k = 33k 15 + 33k = -21 + -27k + 27k Combine like terms: -27k + 27k = 0 15 + 33k = -21 + 0 15 + 33k = -21 Add '-15' to each side of the equation. 15 + -15 + 33k = -21 + -15 Combine like terms: 15 + -15 = 0 0 + 33k = -21 + -15 33k = -21 + -15 Combine like terms: -21 + -15 = -36 33k = -36 Divide each side by '33'. k = -1.090909091 Simplifying k = -1.090909091
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