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Simplifying 15 + 6k = -2(k + 7) Reorder the terms: 15 + 6k = -2(7 + k) 15 + 6k = (7 * -2 + k * -2) 15 + 6k = (-14 + -2k) Solving 15 + 6k = -14 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 15 + 6k + 2k = -14 + -2k + 2k Combine like terms: 6k + 2k = 8k 15 + 8k = -14 + -2k + 2k Combine like terms: -2k + 2k = 0 15 + 8k = -14 + 0 15 + 8k = -14 Add '-15' to each side of the equation. 15 + -15 + 8k = -14 + -15 Combine like terms: 15 + -15 = 0 0 + 8k = -14 + -15 8k = -14 + -15 Combine like terms: -14 + -15 = -29 8k = -29 Divide each side by '8'. k = -3.625 Simplifying k = -3.625
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