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Simplifying 53 = -1k + -11 + -7k Reorder the terms: 53 = -11 + -1k + -7k Combine like terms: -1k + -7k = -8k 53 = -11 + -8k Solving 53 = -11 + -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. 53 + 8k = -11 + -8k + 8k Combine like terms: -8k + 8k = 0 53 + 8k = -11 + 0 53 + 8k = -11 Add '-53' to each side of the equation. 53 + -53 + 8k = -11 + -53 Combine like terms: 53 + -53 = 0 0 + 8k = -11 + -53 8k = -11 + -53 Combine like terms: -11 + -53 = -64 8k = -64 Divide each side by '8'. k = -8 Simplifying k = -8
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