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Simplifying 3k + 7 = -15 + -8k Reorder the terms: 7 + 3k = -15 + -8k Solving 7 + 3k = -15 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 7 + 3k + 8k = -15 + -8k + 8k Combine like terms: 3k + 8k = 11k 7 + 11k = -15 + -8k + 8k Combine like terms: -8k + 8k = 0 7 + 11k = -15 + 0 7 + 11k = -15 Add '-7' to each side of the equation. 7 + -7 + 11k = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 11k = -15 + -7 11k = -15 + -7 Combine like terms: -15 + -7 = -22 11k = -22 Divide each side by '11'. k = -2 Simplifying k = -2
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