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Simplifying 5k + 15 = -6k + -7 Reorder the terms: 15 + 5k = -6k + -7 Reorder the terms: 15 + 5k = -7 + -6k Solving 15 + 5k = -7 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 15 + 5k + 6k = -7 + -6k + 6k Combine like terms: 5k + 6k = 11k 15 + 11k = -7 + -6k + 6k Combine like terms: -6k + 6k = 0 15 + 11k = -7 + 0 15 + 11k = -7 Add '-15' to each side of the equation. 15 + -15 + 11k = -7 + -15 Combine like terms: 15 + -15 = 0 0 + 11k = -7 + -15 11k = -7 + -15 Combine like terms: -7 + -15 = -22 11k = -22 Divide each side by '11'. k = -2 Simplifying k = -2
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