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Simplifying 7 + 2k = -20 + -1k Solving 7 + 2k = -20 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 7 + 2k + k = -20 + -1k + k Combine like terms: 2k + k = 3k 7 + 3k = -20 + -1k + k Combine like terms: -1k + k = 0 7 + 3k = -20 + 0 7 + 3k = -20 Add '-7' to each side of the equation. 7 + -7 + 3k = -20 + -7 Combine like terms: 7 + -7 = 0 0 + 3k = -20 + -7 3k = -20 + -7 Combine like terms: -20 + -7 = -27 3k = -27 Divide each side by '3'. k = -9 Simplifying k = -9
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