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Simplifying 1 + 5k = -3k + -7 Reorder the terms: 1 + 5k = -7 + -3k Solving 1 + 5k = -7 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 1 + 5k + 3k = -7 + -3k + 3k Combine like terms: 5k + 3k = 8k 1 + 8k = -7 + -3k + 3k Combine like terms: -3k + 3k = 0 1 + 8k = -7 + 0 1 + 8k = -7 Add '-1' to each side of the equation. 1 + -1 + 8k = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 8k = -7 + -1 8k = -7 + -1 Combine like terms: -7 + -1 = -8 8k = -8 Divide each side by '8'. k = -1 Simplifying k = -1
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