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Simplifying 30 = -1k + -2 + -7k Reorder the terms: 30 = -2 + -1k + -7k Combine like terms: -1k + -7k = -8k 30 = -2 + -8k Solving 30 = -2 + -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. 30 + 8k = -2 + -8k + 8k Combine like terms: -8k + 8k = 0 30 + 8k = -2 + 0 30 + 8k = -2 Add '-30' to each side of the equation. 30 + -30 + 8k = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 8k = -2 + -30 8k = -2 + -30 Combine like terms: -2 + -30 = -32 8k = -32 Divide each side by '8'. k = -4 Simplifying k = -4
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